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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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S‐Duality in HyperkäHler Hodge Theory

S‐Duality in HyperkäHler Hodge Theory

Chapter:
(p.324) XVI S‐Duality in HyperkäHler Hodge Theory
Source:
The Many Facets of Geometry
Author(s):

TamáS Hausel

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199534920.003.0016

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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