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University Park
Altoona

Thursday, September 15 and 22, 2005
5:00pm, 106 McAllister

David Hurtubise
Penn State Altoona

Morse-Bott Homology

Abstract: It is well known that a Morse-Smale function f on a compact finite dimensional oriented smooth manifold M gives rise to a chain complex, called the Morse-Smale-Witten chain complex, whose homology groups agree with the singular homology groups of the manifold M. In this talk I will discuss three different approaches to generalizing this construction to Morse-Bott functions, i.e. functions whose critical sets include submanifolds that are "non-degenerate in the normal direction."

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We meet weekly on Thursday afternoons, with the third meeting of each month in Altoona. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2005 semester: Aissa Wade and Wojciech Dorabiala.

 

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