TY - JOUR
T1 - Equivariant discrete Morse theory
AU - Freij, Ragnar
PY - 2009/6/28
Y1 - 2009/6/28
N2 - 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.
AB - 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.
KW - Discrete Morse theory
KW - Equivariant homotopy
KW - Graph complexes
UR - http://www.scopus.com/inward/record.url?scp=67349168758&partnerID=8YFLogxK
U2 - 10.1016/j.disc.2008.10.029
DO - 10.1016/j.disc.2008.10.029
M3 - Article
AN - SCOPUS:67349168758
SN - 0012-365X
VL - 309
SP - 3821
EP - 3829
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 12
ER -