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Analytic Torsion

Analytic Torsion
Datum:

07.05.2020

Referent:

Benjamin Waßermann

We study the heat equation of a Riemannian Manifold (M,g), from which
we derive the analytic betti-numbers and analytic torsion. While the former is
a topological invariant,

the latter need not always be. We introduce variations of the analytic torsion
and explain their relations to other invariants.