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Veranstaltung

Vortragsveranstaltung
The Witten complex for algebraic curves with cone-like singularities
Dr. Ursula Ludwig (Freiburg)
6.5.2009, 16:30 Uhr

The Witten deformation is an analytical method proposed by Witten which, given a function $ f : M \to R$ on a smooth compact Riemannian manifold $ M$, leads to a proof of the Morse inequalities. In this talk we generalise the Witten deformation to singular complex algebraic curves $ X$ with cone-like singularities, and functions on $ X$ which we call admissible Morse functions. They are particular examples of stratified Morse functions in the sense of the theory developed by Goresky/MacPherson.

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Vortragsveranstaltungen 2009