Branes and moduli spaces of Higgs bundles on smooth projective varieties

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Indranil Biswas
  • Sebastian Heller
  • Laura P. Schaposnik

Research Organisations

External Research Organisations

  • Tata Institute of Fundamental Research (TIFR HYD)
  • University of Illinois at Chicago
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Details

Original languageEnglish
Article number52
JournalRes. Math. Sci.
Volume8
Issue number3
Publication statusPublished - 20 Aug 2021

Abstract

Given a smooth complex projective variety \(M\) and a smooth closed curve \(X \subset M\) such that the homomorphism of fundamental groups \(\pi_1(X) \rightarrow \pi_1(M)\) is surjective, we study the restriction map of Higgs bundles, namely from Higgs bundles on \(M\) to those on \(X\). In particular, we investigate the interplay between this restriction map and various types of branes contained in the moduli spaces of Higgs bundles on \(M\) and \(X\). We also consider the set-up where a finite group is acting on \(M\) via holomorphic automorphisms or anti-holomorphic involutions, and the curve \(X\) is preserved by the action. Branes are studied in this context.

Keywords

    math.AG, math-ph, math.DG, math.MP, math.SG, 14D21, 32L25, 14H70, HyperKähler manifold, Higgs bundle, Connection, Twistor space, Branes

ASJC Scopus subject areas

Cite this

Branes and moduli spaces of Higgs bundles on smooth projective varieties. / Biswas, Indranil; Heller, Sebastian; Schaposnik, Laura P.
In: Res. Math. Sci., Vol. 8, No. 3, 52, 20.08.2021.

Research output: Contribution to journal › Article › Research › peer review

Biswas I, Heller S, Schaposnik LP. Branes and moduli spaces of Higgs bundles on smooth projective varieties. Res. Math. Sci. 2021 Aug 20;8(3):52. doi: 10.48550/arXiv.2005.02564, 10.1007/s40687-021-00286-z
Biswas, Indranil ; Heller, Sebastian ; Schaposnik, Laura P. / Branes and moduli spaces of Higgs bundles on smooth projective varieties. In: Res. Math. Sci. 2021 ; Vol. 8, No. 3.
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