Localization and stationary phase approximation on supermanifolds

@article{Zakharevich2017LocalizationAS,
  title={Localization and stationary phase approximation on supermanifolds},
  author={V. Zakharevich},
  journal={Journal of Mathematical Physics},
  year={2017},
  volume={58},
  pages={083506}
}
  • V. Zakharevich
  • Published 2017
  • Mathematics, Physics
  • Journal of Mathematical Physics
  • Given an odd vector field Q on a supermanifold M and a Q-invariant density μ on M, under certain compactness conditions on Q, the value of the integral ∫Mμ is determined by the value of μ on any neighborhood of the vanishing locus N of Q. We present a formula for the integral in the case where N is a subsupermanifold which is appropriately non-degenerate with respect to Q. In the process, we discuss the linear algebra necessary to express our result in a coordinate independent way. We also… CONTINUE READING
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