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Discrete Morse Complexes

Manoj K. Chari·Michael Joswig
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Abstract

We investigate properties of the set of discrete Morse functions on a simplicial complex as defined by Forman. It is not difficult to see that the pairings of discrete Morse functions of a finite simplicial complex again form a simplicial complex, the discrete Morse complex. It turns out that several known results from combinatorial topology and enumerative combinatorics, which previously seemed to be unrelated, can be re-interpreted in the setting of these discrete Morse complexes.

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Manoj K. Chari, Michael Joswig. 2000-11-28. Discrete Morse Complexes. https://arxiv.org/abs/math/0011234

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