The Geometry of Mehlers Kernel
Differential Geometry
2023-12-05 v1 Mathematical Physics
math.MP
Abstract
We study the relationship between the Getzler calculus of a spin Riemannian manifold and the Riemannian geometry of the corresponding principal spin bundle. We then use the calculus of Gaussian-Grassmann integrals developed by Berline--Vergne to compute the Getzler symbol of the spinor heat flow.
Cite
@article{arxiv.2312.02076,
title = {The Geometry of Mehlers Kernel},
author = {Jesus Sanchez},
journal= {arXiv preprint arXiv:2312.02076},
year = {2023}
}
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15 Pages