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Dimensional reduction and the equivariant Chern character

by Augusto Stoffel

Year:

2017

Publication:

eprint arXiv:1703.00314

Abstract:

We propose a dimensional reduction procedure in the Stolz--Teichner framework of supersymmetric Euclidean field theories (EFTs) that 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.

Link:

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Additional Information

Brief introduction of the dida co-author(s) and relevance for dida's ML developments.

Augusto Stoffel (PhD)

Augusto studied computer engineering in Brazil and holds a PhD in mathematics (University of Notre Dame, USA) on the role of algebraic topology as a foundation of quantum field theory. At dida, he works on NLP applications, including everything from research to backend development.