Bundle gerbes and moduli spaces

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dc.contributor.authorBouwknegt, P.
dc.contributor.authorVarghese, M.
dc.contributor.authorWu, S.
dc.date.issued2012
dc.description.abstractIn this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerbe called the caloron bundle gerbe, which comes with a natural connection and curving, and show that it is isomorphic to the analytically constructed index bundle gerbe. We apply these constructions to certain moduli spaces associated to compact Riemann surfaces, constructing on these moduli spaces, natural bundle gerbes with connection and curving, whose 3-curvature represent Dixmier-Douady classes that are generators of the third de Rham cohomology groups of these moduli spaces. © 2011 Elsevier B.V.
dc.description.statementofresponsibilityPeter Bouwknegt, Varghese Mathai and Siye Wu
dc.description.urihttp://www.journals.elsevier.com/journal-of-geometry-and-physics/
dc.identifier.citationJournal of Geometry and Physics, 2012; 62(1):1-10
dc.identifier.doi10.1016/j.geomphys.2011.08.005
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.orcidVarghese, M. [0000-0002-1100-3595]
dc.identifier.urihttp://hdl.handle.net/2440/69622
dc.language.isoen
dc.publisherElsevier Science BV
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0878184
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0770927
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0878184
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0770927
dc.rights© 2011 Elsevier B.V. All rights reserved.
dc.source.urihttps://doi.org/10.1016/j.geomphys.2011.08.005
dc.subjectIndex bundle grebe
dc.subjectCaloron bundle grebe
dc.subjectModuli spaces
dc.titleBundle gerbes and moduli spaces
dc.typeJournal article
pubs.publication-statusPublished

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