Strange duality at level one for alternating vector bundles

被引：0

作者：

Zelaci, Hacen ^{[1
]}

机构：

[1] El Oued Univ, Math Dept, El Oued, Algeria

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2025年 / 207卷

关键词：

Vector bundles; Moduli spaces; Parahoric bundles; Hitchin systems; Theta functions; MODULI SPACES; CURVES;

D O I：

10.1016/j.geomphys.2024.105326

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show a strange duality isomorphism at level one for the space of generalized theta functions on the moduli spaces of alternating anti-invariant vector bundles in the ramified case. These anti-invariant vector bundles constitute one of the non-trivial examples of parahoric G-torsors, where G is a twisted (not generically split) parahoric group scheme. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：8

共 50 条

[1] Degeneration of the strange duality map for symplectic bundles
Abe, Takeshi
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2009, 631 : 181 - 220
[2] Strange Duality for Verlinde Spaces of Exceptional Groups at Level One
Boysal, Arzu
Pauly, Christian
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (04) : 595 - 618
[3] Duality Functors for Triple Vector Bundles
Alfonso Gracia-Saz
Kirill Charles Howard Mackenzie
Letters in Mathematical Physics, 2009, 90 : 175 - 200
[4] Duality Functors for Triple Vector Bundles
Gracia-Saz, Alfonso
Mackenzie, Kirill Charles Howard
LETTERS IN MATHEMATICAL PHYSICS, 2009, 90 (1-3) : 175 - 200
[5] Orthogonal bundles, theta characteristics and symplectic strange duality
Belkale, Prakash
COMPACT MODULI SPACES AND VECTOR BUNDLES, 2012, 564 : 185 - 193
[6] Strange Duality for Parabolic Symplectic Bundles on a Pointed Projective Line
Abe, Takeshi
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
[7] BUNDLES OF TOPOLOGICAL VECTOR-SPACES AND THEIR DUALITY
GIERZ, G
LECTURE NOTES IN MATHEMATICS, 1982, 955 : 1 - 290
[8] Gelfand duality for manifolds, and vector and other bundles
Lewis, Andrew D.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2023, 91
[9] Generalized Theta Functions, Strange Duality, and Odd Orthogonal Bundles on Curves
Mukhopadhyay, Swarnava
Wentworth, Richard
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 370 (01) : 325 - 376
[10] Generalized Theta Functions, Strange Duality, and Odd Orthogonal Bundles on Curves
Swarnava Mukhopadhyay
Richard Wentworth
Communications in Mathematical Physics, 2019, 370 : 325 - 376

← 1 2 3 4 5 →