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arXiv · 2312.02076

The Geometry of Mehlers Kernel

Jesus Sanchez Jr
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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.

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Jesus Sanchez Jr. 2023-12-04. The Geometry of Mehlers Kernel. https://arxiv.org/abs/2312.02076

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