New Results in Heat-Kernel Asymptotics on Manifolds with Boundary

Details New Results in Heat-Kernel Asymptotics on Manifolds with Boundary New Results in Heat-Kernel Asymptotics on Manifolds with Boundary

1998-07-17

arxiv.org/abs/hep-th/9807126v1

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, plain Tex. Paper prepared for the Fourth Workshop on Quantum Field Theory under the Influence of External Conditions

Scientific paper

A review is presented of some recent progress in spectral geometry on manifolds with boundary: local boundary-value problems where the boundary operator includes the effect of tangential derivatives; application of conformal variations and other functorial methods to the evaluation of heat-kernel coefficients; conditions for strong ellipticity of the boundary-value problem; fourth-order operators on manifolds with boundary; non-local boundary conditions in Euclidean quantum gravity. Many deep developments in physics and mathematics are therefore in sight.

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