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Journal articles on the topic 'Springer fibers'

Author: Grafiati

Published: 8 June 2024

Last updated: 31 July 2025

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1

Precup, Martha, and Edward Richmond. "An equivariant basis for the cohomology of Springer fibers." Transactions of the American Mathematical Society, Series B 8, no. 17 (2021): 481–509. http://dx.doi.org/10.1090/btran/57.

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Springer fibers are subvarieties of the flag variety that play an important role in combinatorics and geometric representation theory. In this paper, we analyze the equivariant cohomology of Springer fibers for G L n ( C ) GL_n(\mathbb {C}) using results of Kumar and Procesi that describe this equivariant cohomology as a quotient ring. We define a basis for the equivariant cohomology of a Springer fiber, generalizing a monomial basis of the ordinary cohomology defined by De Concini and Procesi and studied by Garsia and Procesi. Our construction yields a combinatorial framework with which to st

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2

KIM, D. "EULER CHARACTERISTIC OF SPRINGER FIBERS." Transformation Groups 24, no. 2 (2018): 403–28. http://dx.doi.org/10.1007/s00031-018-9487-4.

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3

Graham, William, and R. Zierau. "Smooth components of Springer fibers." Annales de l’institut Fourier 61, no. 5 (2011): 2139–82. http://dx.doi.org/10.5802/aif.2669.

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4

Tsai, Cheng-Chiang. "Components of Affine Springer Fibers." International Mathematics Research Notices 2020, no. 6 (2018): 1882–919. http://dx.doi.org/10.1093/imrn/rny085.

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Abstract Let G be a connected split reductive group over a field of characteristic zero or sufficiently large characteristic, $\gamma _0\in (\operatorname{Lie}\mathbf{G})((t))$ be any topologically nilpotent regular semisimple element, and $\gamma =t\gamma _0$. Using methods from p-adic orbital integrals, we show that the number of components of the Iwahori affine Springer fiber over $\gamma$ modulo $Z_{\mathbf{G}((t))}(\gamma )$ is equal to the order of the Weyl group.

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5

Precup, Martha, and Julianna Tymoczko. "Springer fibers and Schubert points." European Journal of Combinatorics 76 (February 2019): 10–26. http://dx.doi.org/10.1016/j.ejc.2018.08.010.

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6

Jóźwicki, Mateusz Łukasz, Mateusz Gargol, Małgorzata Gil-Kowalczyk, and Paweł Mergo. "Commercially available granulates PMMA and PS - potential problems with the production of polymer optical fibers." Photonics Letters of Poland 12, no. 3 (2020): 79. http://dx.doi.org/10.4302/plp.v12i3.1036.

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The aim of the study was to verify the usefulness of commercially available granulates of PMMA (poly (methyl methacrylate) and PS (polystyrene) for the production of polymer optical fibers by extrusion method. Samples were subjected to thermal processing in various conditions (different temperatures and exposure time). Thermal (TG/DTG) and spectroscopic (ATR/FT-IR) analyses were carried out to analyze changes in the samples. Based on FT-IR analysis of liquid monomers and granulates the conversion of double bonds was calculated, which gave us a picture of the degree of monomers conversion, cruc

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7

Olasupo Jon, Felemu. "Springer Fibers of Hook Type and Schubert Points." International Journal of Science and Research (IJSR) 12, no. 2 (2023): 377–85. http://dx.doi.org/10.21275/sr23203080130.

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8

Goresky, Mark, Robert Kottwitz, and Robert MacPherson. "Regular points in affine Springer fibers." Michigan Mathematical Journal 53, no. 1 (2005): 97–107. http://dx.doi.org/10.1307/mmj/1114021087.

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9

Goresky, Mark, Robert Kottwitz, and Robert MacPherson. "Purity of equivalued affine Springer fibers." Representation Theory of the American Mathematical Society 10, no. 6 (2006): 130–46. http://dx.doi.org/10.1090/s1088-4165-06-00200-7.

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10

Leidwanger, Séverine, and Nicolas Perrin. "Study of some orthosymplectic Springer fibers." Journal of Algebra 335, no. 1 (2011): 83–95. http://dx.doi.org/10.1016/j.jalgebra.2011.03.011.

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11

Yun, Zhiwei. "Langlands duality and global Springer theory." Compositio Mathematica 148, no. 3 (2012): 835–67. http://dx.doi.org/10.1112/s0010437x11007433.

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AbstractWe compare the cohomology of (parabolic) Hitchin fibers for Langlands dual groups G and G∨. The comparison theorem fits in the framework of the global Springer theory developed by the author. We prove that the stable parts of the parabolic Hitchin complexes for Langlands dual group are naturally isomorphic after passing to the associated graded of the perverse filtration. Moreover, this isomorphism intertwines the global Springer action on one hand and Chern class action on the other. Our result is inspired by the mirror symmetric viewpoint of geometric Langlands duality. Compared to t

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12

Pagnon, N. G. J., and N. Ressayre. "Adjacency of Young tableaux and the Springer fibers." Selecta Mathematica 12, no. 3-4 (2007): 517–40. http://dx.doi.org/10.1007/s00029-006-0027-z.

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13

Samples, Brandon. "Components of Springer fibers for the exceptional groupsG2andF4." Journal of Algebra 400 (February 2014): 219–48. http://dx.doi.org/10.1016/j.jalgebra.2013.11.014.

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14

Chen, Zongbin. "On the fundamental domain of affine Springer fibers." Mathematische Zeitschrift 286, no. 3-4 (2016): 1323–56. http://dx.doi.org/10.1007/s00209-016-1803-x.

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15

Fresse, Lucas. "Betti numbers of Springer fibers in type A." Journal of Algebra 322, no. 7 (2009): 2566–79. http://dx.doi.org/10.1016/j.jalgebra.2009.07.008.

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16

Nadler, David. "Springer theory via the Hitchin fibration." Compositio Mathematica 147, no. 5 (2011): 1635–70. http://dx.doi.org/10.1112/s0010437x1100546x.

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AbstractWe develop the Springer theory of Weyl group representations in the language of symplectic topology. Given a semisimple complex group G, we describe a Lagrangian brane in the cotangent bundle of the adjoint quotient 𝔤/G that produces the perverse sheaves of Springer theory. The main technical tool is an analysis of the Fourier transform for constructible sheaves from the perspective of the Fukaya category. Our results can be viewed as a toy model of the quantization of Hitchin fibers in the geometric Langlands program.

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17

Stroppel, Catharina, and Arik Wilbert. "Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory." Mathematische Zeitschrift 292, no. 3-4 (2018): 1387–430. http://dx.doi.org/10.1007/s00209-018-2161-7.

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18

Can, Mahir Bilen, Roger Howe, and Michael Joyce. "An analogue of Springer fibers in certain wonderful compactifications." Journal of Algebra and Its Applications 16, no. 09 (2016): 1750172. http://dx.doi.org/10.1142/s0219498817501729.

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We investigate the topological structure of a cellular decomposition of the fixed locus of a unipotent operator of regular Jordan type acting on the wonderful compactification of the variety of complete quadrics and the variety of complete skew forms. The Poincaré polynomial is computed in each case and the poset of cell closures under inclusion is described in the complete quadrics case.

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19

Fresse, Lucas, Anna Melnikov, and Sammar Sakas-Obeid. "On the structure of smooth components of Springer fibers." Proceedings of the American Mathematical Society 143, no. 6 (2015): 2301–15. http://dx.doi.org/10.1090/s0002-9939-2015-12460-4.

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20

MacPherson, Robert, Robert Kottwitz, and Mark Goresky. "Homology of affine Springer fibers in the unramified case." Duke Mathematical Journal 121, no. 3 (2004): 509–61. http://dx.doi.org/10.1215/s0012-7094-04-12135-9.

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21

Griffin, Sean T., Jake Levinson, and Alexander Woo. "Springer fibers and the Delta Conjecture at t = 0." Advances in Mathematics 439 (March 2024): 109491. http://dx.doi.org/10.1016/j.aim.2024.109491.

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22

Pitchumani, R., and S. C. Yao. "Correlation of Thermal Conductivities of Unidirectional Fibrous Composites Using Local Fractal Techniques." Journal of Heat Transfer 113, no. 4 (1991): 788–96. http://dx.doi.org/10.1115/1.2911205.

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The arrangement of fibers strongly influences heat conduction in a composite. Traditional approaches using unit cells to describe the fiber arrangements work well in the case of ordered arrays, but are not useful in the context of disordered arrays, which have been analyzed in the literature by statistical means. This work presents a unified treatment using the tool of local fractal dimensions (although, strictly speaking, a composite cross section may not be an exact fractal) to reduce the geometric complexity of the relative fiber arrangement in the composite. The local fractal dimensions of

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23

Fresse, Lucas. "Singular components of Springer fibers in the two-column case." Annales de l’institut Fourier 59, no. 6 (2009): 2429–44. http://dx.doi.org/10.5802/aif.2495.

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24

Fresse, Lucas. "On the singular locus of certain subvarieties of Springer fibers." Mathematical Research Letters 19, no. 4 (2012): 753–66. http://dx.doi.org/10.4310/mrl.2012.v19.n4.a2.

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25

Pagnon, N. G. J. "Generic fibers of the generalized Springer resolution of type A." Advances in Mathematics 194, no. 2 (2005): 437–62. http://dx.doi.org/10.1016/j.aim.2004.07.002.

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26

Niedźwiedź, Malwina Julita, Małgorzata Gil, Mateusz Gargol, Wiesław Marian Podkościelny, and Paweł Mergo. "Determination of the optimal extrusion temperature of the PMMA optical fibers." Photonics Letters of Poland 11, no. 1 (2019): 7. http://dx.doi.org/10.4302/plp.v11i1.889.

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The aim of this work was to determine optimal extrusion temperature for polymer optical fibers. For preliminary studies poly(methyl methacrylate) (PMMA) granulate was used. Samples of commercially available PMMA were subjected to four different temperatures in which were kept in oven for three different period of time. To examine the changes in the chemical structure of the polymer, an ATR-FT-IR (Attenuation Total Reflection Fourier Transform Infrared Spectroscopy) was chosen. Full Text: PDF ReferencesK. Peters, "Polymer optical fiber sensors—a review", Smart Mater. Struct. 20, 013002 (2011) C

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27

Kasztelanic, Rafał, Grzegorz Stepniewski, Dariusz Pysz, and Ryszard Buczyński. "Influence of the core shape on the quality of fiber sensors based on D-shape fiber." Photonics Letters of Poland 16, no. 3 (2024): 43–45. http://dx.doi.org/10.4302/plp.v16i3.1282.

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Typical optical sensors based on D-shape fibers use standard step-index single-mode fibers (SMF) with a circular core. Multi-mode fibers, fibers with elliptical or rectangular cores, and photonic crystal fibers (PCF) are also used to achieve the best possible sensor performance. However, since the presented sensors differ not only in geometry but, most importantly, in the materials and core sizes, it is difficult to compare their properties directly. In this paper, we numerically analyzed the influence of the shape and size of the core on the sensing performance, with all other relevant parame

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28

Im, Mee Seong, Chun-Ju Lai, and Arik Wilbert. "A study of irreducible components of Springer fibers using quiver varieties." Journal of Algebra 591 (February 2022): 217–48. http://dx.doi.org/10.1016/j.jalgebra.2021.10.019.

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29

Mellit. "Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers." Annals of Mathematics 192, no. 1 (2020): 165. http://dx.doi.org/10.4007/annals.2020.192.1.3.

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30

Arinkin, D., and D. Gaitsgory. "The category of singularities as a crystal and global Springer fibers." Journal of the American Mathematical Society 31, no. 1 (2017): 135–214. http://dx.doi.org/10.1090/jams/882.

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31

Hikita, Tatsuyuki. "Affine Springer fibers of type A and combinatorics of diagonal coinvariants." Advances in Mathematics 263 (October 2014): 88–122. http://dx.doi.org/10.1016/j.aim.2014.06.011.

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32

Kim, Dongkwan. "Springer Fibers for the Minimal and the Minimal Special Nilpotent Orbits." Algebras and Representation Theory 22, no. 3 (2018): 545–67. http://dx.doi.org/10.1007/s10468-018-9786-4.

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33

Kumar, Shrawan, and Claudio Procesi. "An algebro-geometric realization of equivariant cohomology of some Springer fibers." Journal of Algebra 368 (October 2012): 70–74. http://dx.doi.org/10.1016/j.jalgebra.2012.06.019.

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34

Fresse, Lucas, Ronit Mansour, and Anna Melnikov. "Unimodality of the distribution of Betti numbers for some Springer fibers." Journal of Algebra 391 (October 2013): 284–304. http://dx.doi.org/10.1016/j.jalgebra.2013.05.018.

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35

Varagnolo, M., and E. Vasserot. "Finite-dimensional representations of DAHA and affine Springer fibers: The spherical case." Duke Mathematical Journal 147, no. 3 (2009): 439–540. http://dx.doi.org/10.1215/00127094-2009-016.

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36

Woliński, Tomasz, Sławomir Ertman, Katarzyna Rutkowska, et al. "Photonic Liquid Crystal Fibers – 15 years of research activities at Warsaw University of Technology." Photonics Letters of Poland 11, no. 2 (2019): 22. http://dx.doi.org/10.4302/plp.v11i2.907.

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Research activities in the area of photonic liquid crystal fibers carried out over the last 15 years at Warsaw University of Technology (WUT) have been reviewed and current research directions that include metallic nanoparticles doping to enhance electro-optical properties of the photonic liquid crystal fibers are presented. Full Text: PDF ReferencesT.R. Woliński et al., "Propagation effects in a photonic crystal fiber filled with a low-birefringence liquid crystal", Proc. SPIE, 5518, 232-237 (2004). CrossRef F. Du, Y-Q. Lu, S.-T. Wu, "Electrically tunable liquid-crystal photonic crystal fiber

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37

Wilbert, Arik. "Topology of two-row Springer fibers for the even orthogonal and symplectic group." Transactions of the American Mathematical Society 370, no. 4 (2017): 2707–37. http://dx.doi.org/10.1090/tran/7194.

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38

Fresse, Lucas, and Anna Melnikov. "Some Characterizations of Singular Components of Springer Fibers in the Two-Column Case." Algebras and Representation Theory 14, no. 6 (2010): 1063–86. http://dx.doi.org/10.1007/s10468-010-9227-5.

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39

Barchini, L., and R. Zierau. "Components of Springer fibers associated to closed orbits for the symmetric pairs and I." Journal of Pure and Applied Algebra 217, no. 10 (2013): 1807–24. http://dx.doi.org/10.1016/j.jpaa.2012.12.013.

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40

Fresse, Lucas. "A unified approach on Springer fibers in the hook, two-row and two-column cases." Transformation Groups 15, no. 2 (2010): 285–331. http://dx.doi.org/10.1007/s00031-010-9096-3.

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41

Barchini, L., and R. Zierau. "Certain components of Springer fibers and associated cycles for discrete series representations of $SU(p,q)$." Representation Theory of the American Mathematical Society 12, no. 16 (2008): 403–34. http://dx.doi.org/10.1090/s1088-4165-08-00311-7.

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42

Fung, Francis Y. C. "On the topology of components of some Springer fibers and their relation to Kazhdan–Lusztig theory." Advances in Mathematics 178, no. 2 (2003): 244–76. http://dx.doi.org/10.1016/s0001-8708(02)00072-5.

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43

Xi, Nanhua. "A partition of the Springer fibers BN for type An − 1, B2, G2 and some applications." Indagationes Mathematicae 10, no. 2 (1999): 307–20. http://dx.doi.org/10.1016/s0019-3577(99)80024-x.

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44

Macagonova, Olga, Doina Risnic, Adrian Cociug, and Viorel Nacu. "Comparative analysis of the skin decellularization methods." Moldovan Medical Journal 64, no. 2 (2021): 79–86. http://dx.doi.org/10.52418/moldovan-med-j.64-2.21.14.

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Background: The extracellular matrix plays an important role in the promoting the tissue regeneration and repair. Decellularization or removal of the cells from the complex mixture of the structural and functional proteins that constitute the extracellular matrix (ECM) can be done by the physical (agitation, sonication, freeze and thaw), chemical (alkaline orchids, ionic detergents, nonionic, tri-n-butyl phosphate (TBP), hypotonic or hypertonic treatments, chelating agents), and enzymatic methods (trypsin or protease inhibitors). However, complications associated with the use of the decellular

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45

Szczepanek, Jan, Tomasz M. Kardas, and Yuriy Stepanenko. "Group Delay measurements of ultrabroadband pulses generated in highly nonlinear fibers." Photonics Letters of Poland 8, no. 4 (2016): 107. http://dx.doi.org/10.4302/plp.2016.4.06.

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Ultra broadband supercontinuum pulses are commonly used as a source of different wavelengths from a wide spectral bandwidth or as a source of very short pulses. However the processes responsible for wide spectral broadening are still under investigation. In this paper we examine the temporal and spectral characteristics of the pulses broadened upon propagation in the highly nonlinear photonics crystal fibers with different dispersion profiles. Generated supercontinuum pulses were experimentally characterized using cross-correlation frequency resolved optical gating technique. Full Text: PDF Re

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46

Lima, Luzia Ellen de Mendonça, Bruna Leal Lima Maciel, and Thaís Souza Passos. "Oil Frying Processes and Alternative Flour Coatings: Physicochemical, Nutritional, and Sensory Parameters of Meat Products." Foods 13, no. 4 (2024): 512. http://dx.doi.org/10.3390/foods13040512.

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The frying process changes can be desirable and undesirable, involving the physicochemical, nutritional, and sensory aspects, depending on the food and oil properties and the frying process. In this context, alternative flours emerge as a strategy for adding value to the food since they are rich in fiber, vitamins, and minerals, contributing to the variability of ingredients and the full use of food, including residues such as seeds and husks. This narrative review aims to gather current scientific data addressing the alternative flour coatings on breaded meat, mainly chicken, products to eval

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47

Cimek, Jarosław, Xavier Forestier, Ryszard Stepien, Mariusz Klimczak, and Ryszard Buczynski. "Synthesis conditions of ZBLAN glass for mid-infrared optical components." Photonics Letters of Poland 10, no. 1 (2018): 8. http://dx.doi.org/10.4302/plp.v10i1.804.

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We report on successful synthesis of ZBLAN glass. Different purity of zirconium tetrafluoride used for synthesis and fluorinating agents were analyzed to obtain high optical quality glass. Among fluorinating agents we used ammonium bifluoride, xenon difluoride and sulfur hexafluoride. The best results in form of synthetized glasses have transmission window extending from 0.2 to 8.0 um, which allows to fabricate fibers for mid-infrared applications. Full Text: PDF ReferencesR. Stępień, J. Cimek, D. Pysz, I. Kujawa, M. Klimczak, and R. Buczyński, Soft glasses for photonic crystal fibers and micr

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48

Franczyk, Marcin, Dariusz Pysz, Filip Włodarczyk, Ireneusz Kujawa, and Ryszard Buczyński. "Yb3+ doped single-mode silica fibre laser system for high peak power applications." Photonics Letters of Poland 12, no. 4 (2020): 118. http://dx.doi.org/10.4302/plp.v12i4.1075.

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We present ytterbium doped silica single-mode fibre components for high power and high energy laser applications. We developed in-house the fibre laser with high efficiency of 65% according to the launched power, the threshold of 1.16W and the fibre length of 20 m. We also elaborated the fibre with 20 µm in diameter core suitable for amplifying the beam generated in oscillator. We implemented made in-house endcaps to prove the utility of the fibre towards high peak power applications. Full Text: PDF ReferencesStrategies Unlimited, The Worldwide Market for Lasers: Market Review and Forecast, 20

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49

IAWA Journal, Editors. "Fiber Atlas - Identification of Papermaking Fibers. Marja-Sisko Ilvessalo-Pfäffli, xi + 400 pp., illus., 1995. Springer Series in Wood Science (Editor T.E. Timell), Springer Verlag, Berlin, Heidelberg, New York, etc. ISBN 3-540-55392-4. Price: DM 398.00, FF 1500.00, UK£ 173.00 (hardback)." IAWA Journal 16, no. 3 (1995): 311–12. http://dx.doi.org/10.1163/22941932-90001418.

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50

Schweitzer, Dieter. "Organic conductors, fibers, thin films ? One-dimensional conductors. (Springer series in solid state science 72.) ByS. Kagoshima, H. Nagasawa andT. Sambongi. Springer-Verlag Berlin 1988. xii, 235 pp., hard cover, DM 99.?ISBN 3-540-18154-7." Advanced Materials 1, no. 4 (1989): 130. http://dx.doi.org/10.1002/adma.19890010410.

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