Geometry Forum
Monday, April 6, 2009, 10:00am, 227 Physics
Jer-Chin Chuang (Duke University)
Combinatorial Realization of the Thom-Smale Complex via Discrete Morse Theory (2)
Abstract:
This is a series of two talks explaining (the first two-thirds of) a recent paper of Etienne Gallais of the same title: http://front.math.ucdavis.edu/0803.2616 The first talk will review Forman's discrete Morse theory, introduce the combinatorial More-Smale complex, and show how it is homotopy equivalent to the simplicial chain complex. The second talk will discuss Gallais' combinatorial realization of the Thom-Smale complex associated to a generic smooth Morse function. Some familiarity with smooth Morse theory will be assumed (especially in the second talk), but none with discrete Morse theory.

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