English

Gluing formulae for heat kernels

Mathematical Physics 2025-08-06 v2 Analysis of PDEs Differential Geometry math.MP

Abstract

We state and prove two gluing formulae for the heat kernel of the Laplacian on a Riemannian manifold of the form M1γM2M_1 \cup_\gamma M_2. We present several examples.

Cite

@article{arxiv.2404.00156,
  title  = {Gluing formulae for heat kernels},
  author = {Pavel Mnev and Konstantin Wernli},
  journal= {arXiv preprint arXiv:2404.00156},
  year   = {2025}
}

Comments

ver. 2: minor expository changes, updated bibliography

R2 v1 2026-06-28T15:38:48.000Z