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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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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 20 November 2019

S‐Duality in HyperkäHler Hodge Theory

S‐Duality in HyperkäHler Hodge Theory

(p.324) XVI S‐Duality in HyperkäHler Hodge Theory
The Many Facets of Geometry

TamáS Hausel

Oxford University Press

This chapter surveys the motivations, related results, and progress made towards the following problem, raised by Hitchin in 1995: What is the space of L2 harmonic forms on the moduli space of Higgs bundles on a Riemann surface?

Keywords:   Hitchin, Hodge theory, harmonic forms, moduli space, Higgs bundles

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