Discrete Morse Complexes
Combinatorics
2007-05-23 v1
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.
Cite
@article{arxiv.math/0011234,
title = {Discrete Morse Complexes},
author = {Manoj K. Chari and Michael Joswig},
journal= {arXiv preprint arXiv:math/0011234},
year = {2007}
}
Comments
12 pages, 3 figures