Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces-Reference-Cited by-同舟云学术

Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces

Published:2020-12 Issue:14 Volume:31 Page:2050118
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Biswas Indranil¹,Rayan Steven²^ORCID

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, India, 400005, India

2. Centre for Quantum Topology and Its Applications (quanTA) and Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatoon, SK, Canada, S7N 5E6, Canada

Abstract

We define homogeneous principal Higgs and co-Higgs bundles over irreducible Hermitian symmetric spaces of compact type. We provide a classification for each type of object up to isomorphism, which in each case can be interpreted as defining a moduli space.

Funder

J.C. Bose Fellowship

NSERC Discovery Grant

Canadian Tri-Agency New Frontiers in Research Fund

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X20501189

Reference24 articles.

1. Complex analytic connections in fibre bundles

2. A Note on co-Higgs Bundles

3. 2-Nilpotent co-Higgs structures

4. A Higgs bundle on a Hermitian symmetric space

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