Geometry, Topology, and Physics Seminar, Winter 2010
and Dave Morrison.
Meets 4:00 - 5:30 p.m. Fridays in South Hall 6635.
Other Quarters: [
| Feb. 12
The seminar will meet at 3:00pm in SH 6617.
Boris Vertman (Stanford University)
Heat Kernel and Analytic Torsion on Manifolds with Edge Singularities.
This talk will be a part of the
Differential Geometry Seminar.
Abstract: We discuss the construction of the heat kernel for the
Friedrichs extension of the Hodge Laplacian on Riemannian manifolds with
non-iterated incomplete edge singularities. We derive the heat trace asymptotics
and define the analytic torsion in this singular setup. We discuss
variation of the analytic torsion under metric changes. Under additional
conditions on the dimension and metric structures the analytic torsion is shown
to form a topological invariant, independent of the particular choice of
an edge metric.