Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections

We examine the local super trace asymptotics for the de Rham complex defined by an arbitrary super connection on the exterior algebra. We show, in contrast to the situation in which the connection in question is the Levi-Civita connection, that these invariants are generically non-zero in positive d...

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Autores principales: Beneventano, Carlota Gabriela, Gilkey, Peter B., Kirsten, Klaus, Santángelo, Eve Mariel
Formato: Articulo
Lenguaje:Español
Publicado: 2012
Materias:
Ciencias Astronómicas
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129530
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129530
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Ciencias Astronómicas
spellingShingle Ciencias Astronómicas
Beneventano, Carlota Gabriela
Gilkey, Peter B.
Kirsten, Klaus
Santángelo, Eve Mariel
Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
topic_facet Ciencias Astronómicas
description We examine the local super trace asymptotics for the de Rham complex defined by an arbitrary super connection on the exterior algebra. We show, in contrast to the situation in which the connection in question is the Levi-Civita connection, that these invariants are generically non-zero in positive degree and that the critical term is not the Pfaffian.
format Articulo
Articulo
author Beneventano, Carlota Gabriela
Gilkey, Peter B.
Kirsten, Klaus
Santángelo, Eve Mariel
author_facet Beneventano, Carlota Gabriela
Gilkey, Peter B.
Kirsten, Klaus
Santángelo, Eve Mariel
author_sort Beneventano, Carlota Gabriela
title Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
title_short Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
title_full Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
title_fullStr Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
title_full_unstemmed Heat trace asymptotics and the Gauss-Bonnet Theorem for general connections
title_sort heat trace asymptotics and the gauss-bonnet theorem for general connections
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/129530
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AT santangeloevemariel heattraceasymptoticsandthegaussbonnettheoremforgeneralconnections
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