Perturbative N = 2 Supersymmetric Quantum Mechanics and L-Theory with Complex Coefficients

Daniel Berwick-Evans

doi:10.1007/s11005-015-0808-4

Perturbative N = 2 Supersymmetric Quantum Mechanics and L-Theory with Complex Coefficients

Daniel Berwick-Evans

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	109-129
Number of pages	21
Journal	Letters in Mathematical Physics
Volume	106
Issue number	1
DOIs	https://doi.org/10.1007/s11005-015-0808-4
State	Published - Jan 1 2016

Keywords

algebraic topology of manifolds
cohomological methods
generalized (extraordinary) homology and cohomology theories
quantization in field theory
supersymmetric field theories

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Online availability

10.1007/s11005-015-0808-4

Library availability

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Cite this

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