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math.DG2010★ 5 cited
Heat Kernel for Simply-Connected Riemann Surfaces
Trevor H. Jones, Dan Kucerovsky
From the uniformization theorem, we know that every Riemann surface has a simply-connected covering space. Moreover, there are only three simply-connected Riemann surfaces: the sph…
math.DG2009
Heat Kernel for Open Manifolds
Trevor H. Jones
In a 1991 paper by Buttig and Eichhorn, the existence and uniqueness of a differential forms heat kernel on open manifolds of bounded geometry was proven. In that paper, it was sho…