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Relevant bibliographies by topics / Abelianization

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Journal articles

Academic literature on the topic 'Abelianization'

Author: Grafiati

Published: 25 May 2024

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Journal articles on the topic "Abelianization"

1

SATO, MASATOSHI. "The abelianization of a symmetric mapping class group." Mathematical Proceedings of the Cambridge Philosophical Society 147, no. 2 (2009): 369–88. http://dx.doi.org/10.1017/s0305004109002576.

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AbstractLet Σg,r be a compact oriented surface of genus g with r boundary components. We determine the abelianization of the symmetric mapping class group (g,r)(p2) of a double unbranched cover p2: Σ2g − 1,2r → Σg,r using the Riemann constant, Schottky theta constant, and the theta multiplier. We also give lower bounds on the order of the abelianizations of the level d mapping class group.

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2

SATOH, TAKAO. "The abelianization of the congruence IA-automorphism group of a free group." Mathematical Proceedings of the Cambridge Philosophical Society 142, no. 2 (2007): 239–48. http://dx.doi.org/10.1017/s0305004106009959.

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AbstractWe consider the abelianizations of some normal subgroups of the automorphism group of a finitely generated free group. Let Fn be a free group of rank n. For d ≥ 2, we consider a group consisting the automorphisms of Fn which act trivially on the first homology group of Fn with ${\mathbf Z}$/d${\mathbf Z}$-coefficients. We call it the congruence IA-automorphism group of level d and denote it by IAn,d. Let IOn,d be the quotient group of the congruence IA-automorphism group of level d by the inner automorphism group of a free group. We determine the abelianization of IAn,d and IOn,d for n ≥ 2 and d ≥ 2. Furthermore, for n=2 and odd prime p, we compute the integral homology groups of IA2,p for any dimension.

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3

Ratcliffe, John G., and Steven T. Tschantz. "Abelianization of space groups." Acta Crystallographica Section A Foundations of Crystallography 65, no. 1 (2008): 18–27. http://dx.doi.org/10.1107/s0108767308036222.

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4

Hausel, Tamás, and Nicholas Proudfoot. "Abelianization for hyperkähler quotients." Topology 44, no. 1 (2005): 231–48. http://dx.doi.org/10.1016/j.top.2004.04.002.

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5

Blachar, Guy, Orit Sela–Ben-David, and Uzi Vishne. "Abelianization of the Cartwright-Steger lattice." Algebra and Discrete Mathematics 34, no. 2 (2022): 176–86. http://dx.doi.org/10.12958/adm1966.

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The Cartwright-Steger lattice is a group whose Cayley graph can be identified with the Bruhat-Tits building of PGLd over a local field of positive characteristic. We give a lower bound on the abelianization of this lattice, and report that the bound is tight in all computationally accessible cases.

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6

Wehrfritz, B. A. F. "The abelianization of hypercyclic groups." Central European Journal of Mathematics 5, no. 4 (2007): 686–95. http://dx.doi.org/10.2478/s11533-007-0030-4.

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7

Loran, F. "Abelianization of first class constraints." Physics Letters B 547, no. 1-2 (2002): 63–68. http://dx.doi.org/10.1016/s0370-2693(02)02734-x.

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8

Kamgarpour, Masoud. "Stacky abelianization of algebraic groups." Transformation Groups 14, no. 4 (2009): 825–46. http://dx.doi.org/10.1007/s00031-009-9067-8.

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9

Nunes, João P., and Howard J. Schnitzer. "Field Strength Correlators for Two-Dimensional Yang–Mills Theories Over Riemann Surfaces." International Journal of Modern Physics A 12, no. 26 (1997): 4743–68. http://dx.doi.org/10.1142/s0217751x9700253x.

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The path integral computation of field strength correlation functions for two-dimensional Yang–Mills theories over Riemann surfaces is studied. The calculation is carried out by Abelianization, which leads to correlators that are topological. They are nontrivial as a result of the topological obstructions to the Abelianization. It is shown in the large N limit on the sphere that the correlators undergo second order phase transitions at the critical point. Our results are applied to a computation of contractible Wilson loops.

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10

Dimca, Alexandru, Richard Hain, and Stefan Papadima. "The abelianization of the Johnson kernel." Journal of the European Mathematical Society 16, no. 4 (2014): 805–22. http://dx.doi.org/10.4171/jems/447.

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