Equivariant Discrete Morse Theory
Journal article, 2009

In this paper, we study Forman’s discrete Morse theory in the case where a group acts on the underlying complex. We generalize the notion of a Morse matching, and obtain a theory that can be used to simplify the description of the G-homotopy type of a simplicial complex. As an application, we determine the C2×Sn−2-homotopy type of the complex of non-connected graphs on n nodes.

Discrete Morse theory

Equivariant homotopy

Graph complexes


Ragnar Freij

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Discrete Mathematics

0012-365X (ISSN)

Vol. 309 12 3821-3829

Subject Categories

Discrete Mathematics



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