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Conference Paper: Analytic torsion of Z2graded elliptic complexes
Title  Analytic torsion of Z2graded elliptic complexes 

Authors  
Issue Date  2011 
Publisher  American Mathematical Society. 
Citation  Noncommutative Geometry and Global Analysis  Conference in Honor of Henri Moscovici, Bonn, Germany, 29 June  4 July 2009. In Contemporary Mathematics, 2011, v. 546, p. 199212 How to Cite? 
Abstract  We define analytic torsion of Z2graded elliptic complexes as an
element in the graded determinant line of the cohomology of the complex, generalizing
most of the variants of RaySinger analytic torsion in the literature.
It applies to a myriad of new examples, including flat superconnection complexes,
twisted analytic and twisted holomorphic torsions, etc. The definition
uses pseudodifferential operators and residue traces. We also study properties
of analytic torsion for Z2graded elliptic complexes, including the behavior
under variation of the metric. For compact odd dimensional manifolds, the
analytic torsion is independent of the metric, whereas for even dimensional
manifolds, a relative version of the analytic torsion is independent of the metric.
Finally, the relation to topological field theories is studied. 
Persistent Identifier  http://hdl.handle.net/10722/224178 
ISBN  
ISSN 
DC Field  Value  Language 

dc.contributor.author  Mathai, V   
dc.contributor.author  Wu, S   
dc.date.accessioned  20160329T04:13:19Z   
dc.date.available  20160329T04:13:19Z   
dc.date.issued  2011   
dc.identifier.citation  Noncommutative Geometry and Global Analysis  Conference in Honor of Henri Moscovici, Bonn, Germany, 29 June  4 July 2009. In Contemporary Mathematics, 2011, v. 546, p. 199212   
dc.identifier.isbn  9780821849446   
dc.identifier.issn  02714132   
dc.identifier.uri  http://hdl.handle.net/10722/224178   
dc.description.abstract  We define analytic torsion of Z2graded elliptic complexes as an element in the graded determinant line of the cohomology of the complex, generalizing most of the variants of RaySinger analytic torsion in the literature. It applies to a myriad of new examples, including flat superconnection complexes, twisted analytic and twisted holomorphic torsions, etc. The definition uses pseudodifferential operators and residue traces. We also study properties of analytic torsion for Z2graded elliptic complexes, including the behavior under variation of the metric. For compact odd dimensional manifolds, the analytic torsion is independent of the metric, whereas for even dimensional manifolds, a relative version of the analytic torsion is independent of the metric. Finally, the relation to topological field theories is studied.   
dc.language  eng   
dc.publisher  American Mathematical Society.   
dc.relation.ispartof  Contemporary Mathematics   
dc.rights  First published in [Publication] in [volume and number, or year], published by the American Mathematical Society   
dc.title  Analytic torsion of Z2graded elliptic complexes   
dc.type  Conference_Paper   
dc.identifier.email  Wu, S: swu@maths.hku.hk   
dc.identifier.authority  Wu, S=rp00814   
dc.identifier.hkuros  172987   
dc.identifier.volume  546   
dc.identifier.spage  199   
dc.identifier.epage  212   
dc.publisher.place  United States   