Perturbative N = 2 Supersymmetric Quantum Mechanics and L-Theory with Complex Coefficients
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- 作者：Daniel Berwick-Evans
- 关键词：generalized (extraordinary) homology and cohomology theories ; algebraic topology of manifolds ; supersymmetric field theories ; quantization in field theory ; cohomological methods
- 刊名：Letters in Mathematical Physics
- 出版年：2016
- 出版时间：January 2016
- 年：2016
- 卷：106
- 期：1
- 页码：109-129
- 全文大小：574 KB
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1. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, USA - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Mathematical and Computational Physics
Statistical Physics
Geometry
Group Theory and Generalizations - 出版者：Springer Netherlands
- ISSN：1573-0530
文摘
We construct L-theory with complex coefficients from the geometry of 1|2-dimensional perturbative mechanics. Methods of perturbative quantization lead to wrong-way maps that we identify with those coming from the MSO orientation of L-theory tensored with the complex numbers. In particular, the total volume of a space of 1|2-dimensional vacua reads off the signature of a 4k-dimensional oriented manifold.