A Hitchin connection on nonabelian theta functions for parabolic 𝐺-bundles-Reference-Cited by-同舟云学术

A Hitchin connection on nonabelian theta functions for parabolic 𝐺-bundles

Published:2023-09-14 Issue:0 Volume:0 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Biswas Indranil¹,Mukhopadhyay Swarnava²,Wentworth Richard³

Affiliation:

1. Department of Mathematics , Shiv Nadar University , NH91, Tehsil Dadri , Greater Noida , Uttar Pradesh 201314 , India

2. School of Mathematics , Tata Institute of Fundamental Research , Mumbai - 400005 , India

3. Department of Mathematics , University of Maryland , College Park , MD 20742 , USA

Abstract

Abstract For a simple, simply connected complex affine algebraic group 𝐺, we prove the existence of a flat projective connection on the bundle of nonabelian theta functions on the moduli spaces of semistable parabolic 𝐺-bundles for families of smooth projective curves with marked points.

Funder

Department of Atomic Energy, Government of India

Science and Engineering Research Board

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2023-0049/pdf

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