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This is a video about The Discrete Flow Category

The Discrete Flow Category

May 16, 2016
MBI
Presenters: Vidit Nanda
Length: 1 hour 2 minutes 57 seconds

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Abstract

Large-scale homology computations are often rendered tractable by discrete Morse

theory. Every discrete Morse function on a given cell complex X produces a Morse chain

complex whose chain groups are spanned by critical cells and whose homology is isomorphic to

that of X. However, the space-level information is typically lost because very little is known

about how critical cells are attached to each other. In this talk, we discretize a beautiful

construction of Cohen, Jones and Segal in order to completely recover the homotopy type of X

from an overlaid discrete Morse function.