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April 2021 Toric co-Higgs bundles on toric varieties
Indranil Biswas, Arijit Dey, Mainak Poddar, Steven Rayan
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Illinois J. Math. 65(1): 181-190 (April 2021). DOI: 10.1215/00192082-8827663

Abstract

Starting from the data of a nonsingular complex projective toric variety, we define an associated notion of toric co-Higgs bundle. We provide a Lie-theoretic classification of these objects by studying the interaction between Klyachko’s fan filtration and the fiber of the co-Higgs bundle at a closed point in the open orbit of the torus action. This can be interpreted, under certain conditions, as the construction of a coarse moduli scheme of toric co-Higgs bundles of any rank and with any total equivariant Chern class.

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Indranil Biswas. Arijit Dey. Mainak Poddar. Steven Rayan. "Toric co-Higgs bundles on toric varieties." Illinois J. Math. 65 (1) 181 - 190, April 2021. https://doi.org/10.1215/00192082-8827663

Information

Received: 1 April 2020; Revised: 2 September 2020; Published: April 2021
First available in Project Euclid: 17 December 2020

Digital Object Identifier: 10.1215/00192082-8827663

Subjects:
Primary: 14J60
Secondary: 14M25 , 32L05

Rights: Copyright © 2021 by the University of Illinois at Urbana–Champaign

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Vol.65 • No. 1 • April 2021
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