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The Many Facets of GeometryA Tribute to Nigel Hitchin$
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Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon

Print publication date: 2010

Print ISBN-13: 9780199534920

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199534920.001.0001

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Some Aspects of the Theory of Higgs Pairs

Some Aspects of the Theory of Higgs Pairs

(p.92) VI Some Aspects of the Theory of Higgs Pairs
The Many Facets of Geometry

S. Ramanan

Oxford University Press

This chapter presents an exposition of certain aspects of the theory of Higgs pairs (also called ‘Higgs bundles’ by some authors). Topics covered include the moduli of vector bundles, Hecke correspondence, moduli of Higgs pairs, Higgs pairs and the fundamental group, non-abelian Hodge theory, and Hecke transformation and Hitchin discriminant.

Keywords:   Higgs pairs, vector bundles, Hecke correspondence, Hodge theory, Hitchin discriminant

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