A twisted dimer model for knots
Moshe Cohen; Oliver T. Dasbach; Heather M. Russell
Fundamenta Mathematicae (2014)
- Volume: 225, Issue: 0, page 57-74
- ISSN: 0016-2736
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topMoshe Cohen, Oliver T. Dasbach, and Heather M. Russell. "A twisted dimer model for knots." Fundamenta Mathematicae 225.0 (2014): 57-74. <http://eudml.org/doc/282849>.
@article{MosheCohen2014,
abstract = {We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group.},
author = {Moshe Cohen, Oliver T. Dasbach, Heather M. Russell},
journal = {Fundamenta Mathematicae},
keywords = {knots; dimer models; Alexander polynomial; twisted Alexander polynomial},
language = {eng},
number = {0},
pages = {57-74},
title = {A twisted dimer model for knots},
url = {http://eudml.org/doc/282849},
volume = {225},
year = {2014},
}
TY - JOUR
AU - Moshe Cohen
AU - Oliver T. Dasbach
AU - Heather M. Russell
TI - A twisted dimer model for knots
JO - Fundamenta Mathematicae
PY - 2014
VL - 225
IS - 0
SP - 57
EP - 74
AB - We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group.
LA - eng
KW - knots; dimer models; Alexander polynomial; twisted Alexander polynomial
UR - http://eudml.org/doc/282849
ER -
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