# 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} }

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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A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2005{2009

- Computer Science, Mathematics
- 2015

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 19 REFERENCES

On the variation in the cohomology of the symplectic form of the reduced phase space

- Mathematics
- 1982

573

Math

- 1997