Dimensional reduction and the equivariant Chern character
Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 109-150

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We propose a dimensional reduction procedure for 1|1–dimensional supersymmetric euclidean field theories (EFTs) in the sense of Stolz and Teichner. Our construction is well suited in the presence of a finite gauge group or, more generally, for field theories over an orbifold. As an illustration, we give a geometric interpretation of the Chern character for manifolds with an action by a finite group.

DOI : 10.2140/agt.2019.19.109
Classification : 19L10, 19L47, 57R18, 57R56, 55N91, 58C50, 81T60
Keywords: dimensional reduction, topological quantum field theory, Chern character, supermanifolds

Stoffel, Augusto 1

1 Max Planck Institute for Mathematics, Bonn, Germany
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Stoffel, Augusto. Dimensional reduction and the equivariant Chern character. Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 109-150. doi: 10.2140/agt.2019.19.109

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