Morse Homology

Tye Lidman (UT Austin)

Friday 15th August, 2014 16:00-17:00 Maths 516

Abstract

Given a sufficiently nice real-valued function on a smooth manifold, we will describe how to build a chain complex, the Morse complex, which recovers the homology of the manifold.  With time, we will discuss how this has been extended to obtain new invariants of manifolds.

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