Academic literature on the topic 'Hitchings and Company'

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Journal articles on the topic "Hitchings and Company"

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Cheng, Xu, Ernani Ribeiro, and Detang Zhou. "On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons." Proceedings of the American Mathematical Society, Series B 10, no. 3 (2023): 33–45. http://dx.doi.org/10.1090/bproc/155.

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In this article, we investigate the geometry of 4 4 -dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential function, a 4 4 -dimensional compact gradient Ricci soliton must satisfy the classical Hitchin-Thorpe inequality. In addition, some volume estimates are also obtained.
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Fernandez-Lopez, M., and E. Garcia-Rio. "DIAMETER BOUNDS AND HITCHIN-THORPE INEQUALITIES FOR COMPACT RICCI SOLITONS." Quarterly Journal of Mathematics 61, no. 3 (2009): 319–27. http://dx.doi.org/10.1093/qmath/hap006.

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Brasil, A., E. Costa, and E. Ribeiro. "Hitchin–Thorpe inequality and Kaehler metrics for compact almost Ricci soliton." Annali di Matematica Pura ed Applicata (1923 -) 193, no. 6 (2013): 1851–60. http://dx.doi.org/10.1007/s10231-013-0359-1.

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Tadano, Homare. "An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality." Journal of Mathematical Physics 58, no. 2 (2017): 023503. http://dx.doi.org/10.1063/1.4974293.

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Tadano, Homare. "An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality. II." Journal of Mathematical Physics 59, no. 4 (2018): 043507. http://dx.doi.org/10.1063/1.5007240.

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Soutis, Costas. "The Behaviour of Sandwich Structures of Isotropic and Composite Materials. J.R. Vinson. Technomic Publishing Company, 851 New Holland Avenue, Box 3535, Lancaster, PA 17604, USA Distributed by American Technical Publishers. 27-29 Knowl Piece, Wilbury Way, Hitchin, Herts SG4 0SX, UK. 1999. 378pp. Illustrated £147. ISBN 1-56676-699-0." Aeronautical Journal 104, no. 1036 (2000): 298. http://dx.doi.org/10.1017/s0001924000091673.

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Tadano, Homare. "Improved oscillation estimates and the Hitchin–Thorpe inequality on compact Ricci solitons." Journal of Mathematical Physics 64, no. 8 (2023). http://dx.doi.org/10.1063/5.0152174.

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Stimulated by improved oscillation estimates of the potential function and the scalar curvature on compact gradient Ricci solitons introduced in a recent study by Cheng, Ribeiro, and Zhou [Proc. Am. Math. Soc. Ser. B 10, 33–45 (2023)], we give several new sufficient conditions for compact four-dimensional normalized shrinking Ricci solitons to satisfy the Hitchin–Thorpe inequality. Our new conditions refine the validity of the Hitchin–Thorpe inequality obtained by Tadano [J. Math. Phys. 58, 023503 (2017)], Tadano [J. Math. Phys. 59, 043507 (2018)], and Tadano [Differ. Geom. Appl. 66, 231–241 (
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Li, Qiongling, and Takuro Mochizuki. "Higgs bundles in the Hitchin section over non‐compact hyperbolic surfaces." Proceedings of the London Mathematical Society 129, no. 6 (2024). http://dx.doi.org/10.1112/plms.70008.

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AbstractLet be an arbitrary non‐compact hyperbolic Riemann surface, that is, not the complex plane or punctured plane. Let be , or . We show that, on a Higgs bundle in the ‐Hitchin section over , there always exists a harmonic metric satisfying certain nice properties. Moreover, when the Higgs field has bounded spectral curve with respect to the complete hyperbolic metric on , such a harmonic metric is unique. As a result, we obtain a new proof of the existence and uniqueness of a harmonic metric for Higgs bundles in the ‐Hitchin section over a compact hyperbolic Riemann surface. Moreover, we
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Sawon, Justin, and Chen Shen. "Deformations of compact Prym fibrations to Hitchin systems." Bulletin of the London Mathematical Society, April 22, 2022. http://dx.doi.org/10.1112/blms.12643.

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Brennan, Claire. "Land and Sea." M/C Journal 27, no. 5 (2024). http://dx.doi.org/10.5204/mcj.3100.

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Introduction The late eighteenth and early nineteenth centuries saw a burst of interest by European powers in the scientific exploration of the Pacific. Well-equipped expeditions were sent to the far side of the world, although the technology of the time limited navigators’ ability to record their routes accurately. The journals and other publications produced by European expeditions to the Pacific are storehouses of observations of places and people, and the self-consciously scientific expeditions of this period provide particularly rich descriptions of the physical world they had set out to
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Dissertations / Theses on the topic "Hitchings and Company"

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Portioli, Marco <1992&gt. "The Hitchin map for one-nodal base curves of compact type." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2022. http://amsdottorato.unibo.it/10455/1/portioli_marco_tesi.pdf.

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Studying moduli spaces of semistable Higgs bundles (E, \phi) of rank n on a smooth curve C, a key role is played by the spectral curve X (Hitchin), because an important result by Beauville-Narasimhan-Ramanan allows us to study isomorphism classes of such Higgs bundles in terms of isomorphism classes of rank-1 torsion-free sheaves on X. This way, the generic fibre of the Hitchin map, which associates to any semistable Higgs bundle the coefficients of the characteristic polynomial of \phi, is isomorphic to the Jacobian of X. Focusing on rank-2 Higgs data, this construction was extended by Barik
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Book chapters on the topic "Hitchings and Company"

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Osama, Muhammad, and Anton Wijs. "Hitching a Ride to a Lasso: Massively Parallel On-The-Fly LTL Model Checking." In Tools and Algorithms for the Construction and Analysis of Systems. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57249-4_2.

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AbstractThe need for massively parallel algorithms, suitable to exploit the computational power of hardware such as graphics processing units, is ever increasing. In this paper, we propose a new algorithm for the on-the-fly verification of Linear-Time Temporal Logic (LTL) formulae [45] that is aimed at running on such devices. We prove its correctness and termination guarantee, and experimentally compare a GPU implementation with state-of-the-art LTL model checkers. Our new GPU LTL-checking algorithm is up to 150$$\times $$ × faster on proving the correctness of a system than LTSmin running on
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Andersen, Jørgen Ellegaard, and Kenneth Rasmussen. "A Hitchin Connection for a Large Class of Families of Kähler Structures." In Geometry and Physics: Volume I. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802013.003.0007.

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This chapter presents a Hitchin connection constructed in a setting which significantly generalizes the setting covered by the first author, which, in turn, was a generalization of the moduli space covered in the original work on the Hitchin connection. In fact, this construction provides a Hitchin connection which is a partial connection on the space of all compatible complex structures on an arbitrary but fixed prequantizable symplectic manifold which satisfies a certain Fano-type condition. The subspace of the tangent space to the space of compatible complex structures on which the construc
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Mathur, SB, Sudhakar Bokephode, and DD Balsaraf. "‘The Patanjali’ Effect." In Indian Business Case Studies Volume VI. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192869425.003.0020.

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Abstract Patanjali Ayurved has priced open the herbal and ayurvedic market for personal care products and foods, setting the stage for a fresh battle of brands in the categories. Even as Indian FMCG companies battle an industry-wide slowdown in growth, many are hitching their wagons to the herbal-organic consumer products category, following in the footsteps of the Baba Ramdev’s Patanjali. The yoga guru-cum-business czar is not only among the highest advertiser on television today, but by doubling up as brand ambassador for his company, he is increasing awareness for all ayurvedic-herbal produ
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Boalch, Philip. "Wild Character Varieties, Meromorphic Hitchin Systems and Dynkin Diagrams." In Geometry and Physics: Volume II. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802020.003.0017.

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The theory of Hitchin systems is something like a ‘global theory of Lie groups’ where one works over a Riemann surface rather than just at a point. This chapter describes how one can take this analogy a few steps further by attempting to make precise the class of rich geometric objects that appear in this story (including the non-compact case) and discusses their classification, outlining a theory of ‘Dynkin diagrams’ as a step towards classifying some examples of such objects.
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Runyon, Randolph Paul. "Buckskin and Lace." In The Mentelles. University Press of Kentucky, 2018. http://dx.doi.org/10.5810/kentucky/9780813175386.003.0004.

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In the spring of 1791,Waldemar joins the French colonists already at Gallipolis, Ohio Territory, hitching a ride on the boats transporting soldiers down the Ohio River to fight the Indians. He was fortunate not to continue the journey past Gallipolis, for it would culminate in the disaster known as St. Clair's Defeat, in which 97% of the Americans are killed or wounded. Unlike the other colonists, Waldemar owns no land at Gallipolis; in fact, they only thought they had ownership, having been swindled by Joel Barlow and company back in France. He is assigned to be an "Indian spy," tasked with s
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