微分形式和0维超对称场论

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2011-01-16 DOI:10.4171/QT/12

Henning Hohnhold, M. Kreck, S. Stolz, P. Teichner

引用次数: 33

摘要

我们证明了在光滑流形X上的闭微分形式可以用维数为0 - 1 / X的超对称场论来解释。因此，这些场论的一致性类被证明代表了德拉姆上同。本文的主要贡献是使所有关于超对称场论的新数学概念变得精确。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Differential forms and 0-dimensional supersymmetric field theories

We show that closed differential forms on a smooth manifold X can be interpreted astopological(respectivelyEudlidean)supersymmetricfieldtheoriesofdimension0j1overX. As a consequence, concordance classes of such field theories are shown to represent de Rham cohomology. The main contribution of this paper is to make all new mathematical notions regarding supersymmetric field theories precise.

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来源期刊

Quantum Topology Mathematics-Geometry and Topology

CiteScore

1.80

自引率

9.10%

发文量

期刊介绍： Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology Knot Theory Jones Polynomial and Khovanov Homology Topological Quantum Field Theory Quantum Groups and Hopf Algebras Mapping Class Groups and Teichmüller space Categorification Braid Groups and Braided Categories Fusion Categories Subfactors and Planar Algebras Contact and Symplectic Topology Topological Methods in Physics.