The SO(3) Kauffman polynomial and the chromatic polynomial of planar graphs are categorified by a unique extension of the Khovanov homology framework. Many structural observations and computations of homologies of knots and spin networks are included.
Keywords: categorification, Khovanov homology, Kauffmann polynomial, chromatic polynomial, spin network
Cooper, Benjamin  1 ; Hogancamp, Matt  1 ; Krushkal, Vyacheslav  1
@article{10_2140_agt_2011_11_2137,
author = {Cooper, Benjamin and Hogancamp, Matt and Krushkal, Vyacheslav},
title = {SO(3) homology of graphs and links},
journal = {Algebraic and Geometric Topology},
pages = {2137--2166},
year = {2011},
volume = {11},
number = {4},
doi = {10.2140/agt.2011.11.2137},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2011.11.2137/}
}
TY - JOUR AU - Cooper, Benjamin AU - Hogancamp, Matt AU - Krushkal, Vyacheslav TI - SO(3) homology of graphs and links JO - Algebraic and Geometric Topology PY - 2011 SP - 2137 EP - 2166 VL - 11 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2011.11.2137/ DO - 10.2140/agt.2011.11.2137 ID - 10_2140_agt_2011_11_2137 ER -
%0 Journal Article %A Cooper, Benjamin %A Hogancamp, Matt %A Krushkal, Vyacheslav %T SO(3) homology of graphs and links %J Algebraic and Geometric Topology %D 2011 %P 2137-2166 %V 11 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2011.11.2137/ %R 10.2140/agt.2011.11.2137 %F 10_2140_agt_2011_11_2137
Cooper, Benjamin; Hogancamp, Matt; Krushkal, Vyacheslav. SO(3) homology of graphs and links. Algebraic and Geometric Topology, Tome 11 (2011) no. 4, pp. 2137-2166. doi: 10.2140/agt.2011.11.2137
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