The Chern–Gauss–Bonnet Theorem via Supersymmetric Euclidean Field Theories

Research output: Contribution to journalArticle

Abstract

We prove the Chern–Gauss–Bonnet Theorem using sigma models whose source supermanifolds have super dimension 0|2. Along the way we develop machinery for understanding manifold invariants encoded by families of 0|δ-dimensional Euclidean field theories and their quantization.

Original languageEnglish (US)
Pages (from-to)1121-1157
Number of pages37
JournalCommunications in Mathematical Physics
Volume335
Issue number3
DOIs
StatePublished - Jan 1 2015

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Supermanifold
Sigma Models
Invariant Manifolds
machinery
Field Theory
Euclidean
Quantization
theorems
Theorem
Family

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

The Chern–Gauss–Bonnet Theorem via Supersymmetric Euclidean Field Theories. / Berwick Evans, Daniel.

In: Communications in Mathematical Physics, Vol. 335, No. 3, 01.01.2015, p. 1121-1157.

Research output: Contribution to journalArticle

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