The chromatic polynomial of fatgraphs and its categorification
Author | dc.contributor.author | Loebl, Martín | |
Author | dc.contributor.author | Moffatt, Iain | es_CL |
Admission date | dc.date.accessioned | 2010-01-28T19:35:09Z | |
Available date | dc.date.available | 2010-01-28T19:35:09Z | |
Publication date | dc.date.issued | 2008-03-01 | |
Cita de ítem | dc.identifier.citation | ADVANCES IN MATHEMATICS Volume: 217 Issue: 4 Pages: 1558-1587 Published: MAR 1 2008 | en_US |
Identifier | dc.identifier.issn | 0001-8708 | |
Identifier | dc.identifier.other | 10.1016/j.aim.2007.11.016 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125289 | |
Abstract | dc.description.abstract | Motivated by Khovanov homology and relations between the Jones polynomial and graph polynomials, we construct a homology theory for embedded graphs from which the chromatic polynomial can be recovered as the Euler characteristic. For plane graphs, we show that our chromatic homology can be recovered from the Khovanov homology of an associated link. We apply this connection with Khovanov homology to show that the torsion-free part of our chromatic homology is independent of the choice of planar embedding of a graph. We extend our construction and categorify the Bollobas-Riordan polynomial (a generalization of the Tutte polynomial to embedded graphs). We prove that both our chromatic homology and the Khovanov homology of an associated link can be recovered from this categorification. | en_US |
Lenguage | dc.language.iso | en | en_US |
Publisher | dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en_US |
Keywords | dc.subject | GRAPHS | en_US |
Título | dc.title | The chromatic polynomial of fatgraphs and its categorification | en_US |
Document type | dc.type | Artículo de revista |
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