Open Access
Summer 2002 Extensions of Higgs bundles
Steven B. Bradlow, Tomás L. Gómez
Illinois J. Math. 46(2): 587-625 (Summer 2002). DOI: 10.1215/ijm/1258136213

Abstract

We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize known results for extensions of holomorphic bundles. Using Simpson's methods, we construct moduli spaces of stable objects. In an appendix we construct Bott-Chern forms for Higgs bundles.

Citation

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Steven B. Bradlow. Tomás L. Gómez. "Extensions of Higgs bundles." Illinois J. Math. 46 (2) 587 - 625, Summer 2002. https://doi.org/10.1215/ijm/1258136213

Information

Published: Summer 2002
First available in Project Euclid: 13 November 2009

zbMATH: 1012.32006
MathSciNet: MR1936939
Digital Object Identifier: 10.1215/ijm/1258136213

Subjects:
Primary: 32L05
Secondary: 14D20 , 32G13 , 32Q20 , 53C07

Rights: Copyright © 2002 University of Illinois at Urbana-Champaign

Vol.46 • No. 2 • Summer 2002
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