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Journal articles on the topic 'Higher-Dimensional Mathematics'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Baez, John C., and Martin Neuchl. "Higher Dimensional Algebra." Advances in Mathematics 121, no. 2 (1996): 196–244. http://dx.doi.org/10.1006/aima.1996.0052.

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2

Shonkwiler, Clayton, and David Shea Vela-Vick. "Higher-dimensional linking integrals." Proceedings of the American Mathematical Society 139, no. 04 (2011): 1511. http://dx.doi.org/10.1090/s0002-9939-2010-10603-2.

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3

Rogers, James T. "Higher dimensional aposyndetic decompositions." Proceedings of the American Mathematical Society 131, no. 10 (2003): 3285–88. http://dx.doi.org/10.1090/s0002-9939-03-06888-6.

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4

Kim, Gwang-Il. "Higher dimensional PH curves." Proceedings of the Japan Academy, Series A, Mathematical Sciences 78, no. 10 (2002): 185–87. http://dx.doi.org/10.3792/pjaa.78.185.

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5

Borwein, Jonathan M., O.-Yeat Chan, and R. E. Crandall. "Higher-Dimensional Box Integrals." Experimental Mathematics 19, no. 4 (2010): 431–46. http://dx.doi.org/10.1080/10586458.2010.10390634.

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6

Schwartzman, Sol. "Higher Dimensional Asymptotic Cycles." Canadian Journal of Mathematics 55, no. 3 (2003): 636–48. http://dx.doi.org/10.4153/cjm-2003-026-0.

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AbstractGiven a p-dimensional oriented foliation of an n-dimensional compact manifold Mn and a transversal invariant measure τ, Sullivan has defined an element of Hp(Mn; R). This generalized the notion of a μ-asymptotic cycle, which was originally defined for actions of the real line on compact spaces preserving an invariant measure μ. In this one-dimensional case there was a natural 1—1 correspondence between transversal invariant measures τ and invariant measures μ when one had a smooth flow without stationary points.For what we call an oriented action of a connected Lie group on a compact m

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7

Gomi, Kiyonori, and Yuji Terashima. "Higher-dimensional parallel transports." Mathematical Research Letters 8, no. 1 (2001): 25–33. http://dx.doi.org/10.4310/mrl.2001.v8.n1.a4.

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8

Banerjee, Deveena R., Sara Chari, and Adriana Salerno. "Higher-dimensional origami constructions." Involve, a Journal of Mathematics 16, no. 2 (2023): 297–312. http://dx.doi.org/10.2140/involve.2023.16.297.

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9

Barja, Miguel Ángel, Rita Pardini, and Lidia Stoppino. "Higher-dimensional Clifford–Severi equalities." Communications in Contemporary Mathematics 22, no. 08 (2019): 1950079. http://dx.doi.org/10.1142/s0219199719500792.

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Let [Formula: see text] be a smooth complex projective variety, [Formula: see text] a morphism to an abelian variety such that [Formula: see text] injects into [Formula: see text] and let [Formula: see text] be a line bundle on [Formula: see text]; denote by [Formula: see text] the minimum of [Formula: see text] for [Formula: see text]. The so-called Clifford–Severi inequalities have been proven in [M. A. Barja, Generalized Clifford–Severi inequality and the volume of irregular varieties, Duke Math. J. 164(3) (2015) 541–568; M. A. Barja, R. Pardini and L. Stoppino, Linear systems on irregular

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10

Knibbeler, Vincent, Sara Lombardo, and Jan A. Sanders. "Higher-Dimensional Automorphic Lie Algebras." Foundations of Computational Mathematics 17, no. 4 (2016): 987–1035. http://dx.doi.org/10.1007/s10208-016-9312-1.

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11

Narayanan, Hariharan, and H. Narayanan. "Higher Dimensional Electrical Circuits." Circuits, Systems, and Signal Processing 39, no. 4 (2019): 1770–96. http://dx.doi.org/10.1007/s00034-019-01236-5.

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12

CHOE, Boo Rim. "On higher dimensional Luecking's theorem." Journal of the Mathematical Society of Japan 61, no. 1 (2009): 213–24. http://dx.doi.org/10.2969/jmsj/06110213.

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13

Jelonek, Włodzimierz. "Higher-dimensional Gray Hermitian manifolds." Journal of the London Mathematical Society 80, no. 3 (2009): 729–49. http://dx.doi.org/10.1112/jlms/jdp050.

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14

Seade, José, and Alberto Verjovsky. "Higher dimensional complex Kleinian groups." Mathematische Annalen 322, no. 2 (2002): 279–300. http://dx.doi.org/10.1007/s002080100247.

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15

Arbieto, A., and C. A. Morales. "A dichotomy for higher-dimensional flows." Proceedings of the American Mathematical Society 141, no. 8 (2013): 2817–27. http://dx.doi.org/10.1090/s0002-9939-2013-11536-4.

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16

He, Zhengxu, and Jinsong Liu. "Factoring the higher dimensional quasiconformal mappings." Transactions of the American Mathematical Society 372, no. 8 (2019): 5341–53. http://dx.doi.org/10.1090/tran/7679.

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17

Zhao, Fayou, and Li in Ma. "Higher-dimensional weighted Knopp type inequalities." Mathematical Inequalities & Applications, no. 2 (2019): 619–29. http://dx.doi.org/10.7153/mia-2019-22-43.

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18

Isaak, G. "Constructions for higher dimensional perfect multifactors." aequationes mathematicae 64, no. 1-2 (2002): 70–88. http://dx.doi.org/10.1007/s00010-002-8032-6.

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19

Rahaman, F., S. Chakraborty, Saibal Ray, A. A. Usmani, and S. Islam. "The Higher Dimensional Gravastars." International Journal of Theoretical Physics 54, no. 1 (2014): 50–61. http://dx.doi.org/10.1007/s10773-014-2198-2.

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20

Goff, Michael. "Higher Dimensional Moore Bounds." Graphs and Combinatorics 27, no. 4 (2010): 505–30. http://dx.doi.org/10.1007/s00373-010-0979-9.

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21

Blanc, Jérémy, Stéphane Lamy, and Susanna Zimmermann. "Quotients of higher-dimensional Cremona groups." Acta Mathematica 226, no. 2 (2021): 211–318. http://dx.doi.org/10.4310/acta.2021.v226.n2.a1.

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22

Rippon, P. J. "Towards a higher-dimensional MacLane class." Mathematical Proceedings of the Cambridge Philosophical Society 119, no. 4 (1996): 665–71. http://dx.doi.org/10.1017/s0305004100074508.

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Let D be a bounded region in ℝm, m ≥ 2. We say that a function u defined in D has asymptotic value α if there is a boundary path Γ:x(t), 0≤t<1, in D (that is, dist (x(t), ∂D)→0 as t→1), such that u(x(t))→α as t→1. If in addition, x(t)→ξ as t→1, then u has asymptotic value α at ξ.

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23

Baez, John C., and Laurel Langford. "Higher-dimensional algebra IV: 2-tangles." Advances in Mathematics 180, no. 2 (2003): 705–64. http://dx.doi.org/10.1016/s0001-8708(03)00018-5.

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24

Catanese, Fabrizio, and Yujiro Kawamata. "Fujita decomposition over higher dimensional base." European Journal of Mathematics 5, no. 3 (2018): 720–28. http://dx.doi.org/10.1007/s40879-018-0287-0.

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25

Bhosle, Usha. "Parabolic sheaves on higher dimensional varieties." Mathematische Annalen 293, no. 1 (1992): 177–92. http://dx.doi.org/10.1007/bf01444711.

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26

Fekete, Sándor P., Ekkehard Köhler, and Jürgen Teich. "Higher‐Dimensional Packing with Order Constraints." SIAM Journal on Discrete Mathematics 20, no. 4 (2006): 1056–78. http://dx.doi.org/10.1137/060665713.

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27

Kališnik, Sara, Vitaliy Kurlin, and Davorin Lešnik. "A higher-dimensional homologically persistent skeleton." Advances in Applied Mathematics 102 (January 2019): 113–42. http://dx.doi.org/10.1016/j.aam.2018.07.004.

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28

Bartels, Arthur. "Higher dimensional links are singular slice." Mathematische Annalen 320, no. 3 (2001): 547–76. http://dx.doi.org/10.1007/pl00004486.

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29

Kahn, Bruno. "Lower ?-cohomology of higher-dimensional quadrics." Archiv der Mathematik 65, no. 3 (1995): 244–50. http://dx.doi.org/10.1007/bf01195094.

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30

Lehua, Mu, Zhang Zhihua, and Zhang Peixuan. "On the higher-dimensional wavelet frames." Applied and Computational Harmonic Analysis 16, no. 1 (2004): 44–59. http://dx.doi.org/10.1016/j.acha.2003.10.002.

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31

Ghorpade, Sudhir R. "Young Multitableaux and Higher Dimensional Determinants." Advances in Mathematics 121, no. 2 (1996): 167–95. http://dx.doi.org/10.1006/aima.1996.0051.

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32

Kuznetsov, Alexander Gennad'evich, and Yuri Gennadievich Prokhorov. "On higher-dimensional del Pezzo varieties." Izvestiya: Mathematics 87, no. 3 (2023): 488–561. http://dx.doi.org/10.4213/im9385e.

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We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type $\mathrm A$ the dimension of non-conical del Pezzo varieties is bounded by $12 - d - r$, where $d$ is the degree and $r$ is the rank of the class group, and classify maximal del Pezzo varieties.

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33

He, Hongyu. "Reconstruction and higher-dimensional geometry." Journal of Combinatorial Theory, Series B 97, no. 3 (2007): 421–29. http://dx.doi.org/10.1016/j.jctb.2006.07.003.

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34

Mihailescu, Eugen. "Higher dimensional expanding maps and toral extensions." Proceedings of the American Mathematical Society 141, no. 10 (2013): 3467–75. http://dx.doi.org/10.1090/s0002-9939-2013-11597-2.

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35

Kim, Jin Hong. "Higher dimensional Enriques varieties with even index." Proceedings of the American Mathematical Society 141, no. 11 (2013): 3701–7. http://dx.doi.org/10.1090/s0002-9939-2013-11650-3.

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36

Balakumar, G. P., Diganta Borah, Prachi Mahajan, and Kaushal Verma. "Remarks on the higher dimensional Suita conjecture." Proceedings of the American Mathematical Society 147, no. 8 (2019): 3401–11. http://dx.doi.org/10.1090/proc/14421.

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37

Flockerzi, Dietrich. "Resonance and bifurcation of higher-dimensional tori." Proceedings of the American Mathematical Society 94, no. 1 (1985): 147. http://dx.doi.org/10.1090/s0002-9939-1985-0781073-5.

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38

Rogers, James T. "Orbits of higher-dimensional hereditarily indecomposable continua." Proceedings of the American Mathematical Society 95, no. 3 (1985): 483. http://dx.doi.org/10.1090/s0002-9939-1985-0806092-1.

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39

Fahrenberg, Uli, Christian Johansen, Georg Struth, and Krzysztof Ziemiański. "Languages of higher-dimensional automata." Mathematical Structures in Computer Science 31, no. 5 (2021): 575–613. http://dx.doi.org/10.1017/s0960129521000293.

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Abstract We introduce languages of higher-dimensional automata (HDAs) and develop some of their properties. To this end, we define a new category of precubical sets, uniquely naturally isomorphic to the standard one, and introduce a notion of event consistency. HDAs are then finite, labeled, event-consistent precubical sets with distinguished subsets of initial and accepting cells. Their languages are sets of interval orders closed under subsumption; as a major technical step, we expose a bijection between interval orders and a subclass of HDAs. We show that any finite subsumption-closed set o

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40

Avila, G., S. J. Castillo, and J. A. Nieto. "Geometric structure of higher-dimensional spheres." Journal of Interdisciplinary Mathematics 19, no. 5-6 (2016): 955–75. http://dx.doi.org/10.1080/09720502.2014.995996.

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41

Bera, Tanmoy, Mithun Kumar Das, and Anirban Mukhopadhyay. "On higher dimensional Poissonian pair correlation." Journal of Mathematical Analysis and Applications 530, no. 1 (2024): 127686. http://dx.doi.org/10.1016/j.jmaa.2023.127686.

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42

Brown, R. "Symmetry, groupoids and higher-dimensional analogues." Computers & Mathematics with Applications 17, no. 1-3 (1989): 49–57. http://dx.doi.org/10.1016/0898-1221(89)90147-8.

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43

Pintea, Cornel. "Smooth Mappings with Higher Dimensional Critical Sets." Canadian Mathematical Bulletin 53, no. 3 (2010): 542–49. http://dx.doi.org/10.4153/cmb-2010-057-8.

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44

Doolittle, Joseph, Jean‐Philippe Labbé, Carsten E. M. C. Lange, Rainer Sinn, Jonathan Spreer, and Günter M. Ziegler. "COMBINATORIAL INSCRIBABILITY OBSTRUCTIONS FOR HIGHER DIMENSIONAL POLYTOPES." Mathematika 66, no. 4 (2020): 927–53. http://dx.doi.org/10.1112/mtk.12051.

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45

Jardim, Marcos, Grégoire Menet, Daniela M. Prata, and Henrique N. Sá Earp. "Holomorphic bundles for higher dimensional gauge theory." Bulletin of the London Mathematical Society 49, no. 1 (2017): 117–32. http://dx.doi.org/10.1112/blms.12017.

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46

Kapitaniak, Tomasz, Yuri Maistrenko, and Celso Grebogi. "Bubbling and riddling of higher-dimensional attractors." Chaos, Solitons & Fractals 17, no. 1 (2003): 61–66. http://dx.doi.org/10.1016/s0960-0779(02)00447-2.

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47

Kruglikov, Boris S. "Non-existence of higher-dimensional pseudoholomorphic submanifolds." manuscripta mathematica 111, no. 1 (2003): 51–69. http://dx.doi.org/10.1007/s00229-002-0352-2.

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48

Lawson, Mark V., and Alina Vdovina. "Higher dimensional generalizations of the Thompson groups." Advances in Mathematics 369 (August 2020): 107191. http://dx.doi.org/10.1016/j.aim.2020.107191.

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49

Wörner, A. "A search for higher-dimensional arc planes." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 77, no. 1 (2007): 169–78. http://dx.doi.org/10.1007/bf03173496.

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50

Pourabbas, A. "Higher Dimensional Cohomology of Weighted Sequence Algebras." Journal of the Australian Mathematical Society 75, no. 1 (2003): 57–68. http://dx.doi.org/10.1017/s1446788700003475.

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AbstractIt is well known that c0(Z) is amenable and so its global dimension is zero. In this paper we will investigate the cyclic and Hochschild cohomology of Banach algebra c0 (Z, ω-1) and its unitisation with coefficients in its dual space, where ω is a weight on Z which satisfies inf {ω(i)} = 0.Moreover we show that the weak homological bi-dimension of c0 (Z, ω-1) is infinity.

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