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math-ph2024
Gluing formulae for heat kernels
Pavel Mnev, Konstantin Wernli
We state and prove two gluing formulae for the heat kernel of the Laplacian on a Riemannian manifold of the form . We present several examples.
math-ph2024
Combinatorial 2d higher topological quantum field theory from a local cyclic algebra
Justin Beck, Andrey Losev, Pavel Mnev
We construct combinatorial analogs of 2d higher topological quantum field theories. We consider triangulations as vertices of a certain CW complex . In the "flip theory," cells…