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Field theories and orbifold cohomology

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Speaker: 
Augusto Stoffel
Affiliation: 
MPIM
Date: 
Wed, 2016-11-30 10:30 - 12:00
Location: 
MPIM Lecture Hall

I will describe a dimensional reduction procedure for 1-dimensional supersymmetric Euclidean field theories over an orbifold.  As a basic application, we obtain a geometric interpretation of the equivariant Chern character for finite group actions.  I will also explain how twisted K-theory fits into this picture: a gerbe with connection gives rise to a 1-dimensional twist, and 0-dimensional field theories twisted by the dimensionally reduced twist represent classes in (twisted) complexified K-theory.

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