Khovanov-Rozansky homology for embedded graphs

Emmanuel Wagner. "Khovanov-Rozansky homology for embedded graphs." Fundamenta Mathematicae 214.3 (2011): 201-214. <http://eudml.org/doc/282781>.

@article{EmmanuelWagner2011,
abstract = {For any positive integer n, Khovanov and Rozansky constructed a bigraded link homology from which you can recover the 𝔰𝔩ₙ link polynomial invariants. We generalize the Khovanov-Rozansky construction in the case of finite 4-valent graphs embedded in a ball B³ ⊂ ℝ³. More precisely, we prove that the homology associated to a diagram of a 4-valent graph embedded in B³ ⊂ ℝ³ is invariant under the graph moves introduced by Kauffman.},
author = {Emmanuel Wagner},
journal = {Fundamenta Mathematicae},
keywords = {Khovanov-Rozansky link homology; embedded graphs},
language = {eng},
number = {3},
pages = {201-214},
title = {Khovanov-Rozansky homology for embedded graphs},
url = {http://eudml.org/doc/282781},
volume = {214},
year = {2011},
}

TY - JOUR
AU - Emmanuel Wagner
TI - Khovanov-Rozansky homology for embedded graphs
JO - Fundamenta Mathematicae
PY - 2011
VL - 214
IS - 3
SP - 201
EP - 214
AB - For any positive integer n, Khovanov and Rozansky constructed a bigraded link homology from which you can recover the 𝔰𝔩ₙ link polynomial invariants. We generalize the Khovanov-Rozansky construction in the case of finite 4-valent graphs embedded in a ball B³ ⊂ ℝ³. More precisely, we prove that the homology associated to a diagram of a 4-valent graph embedded in B³ ⊂ ℝ³ is invariant under the graph moves introduced by Kauffman.
LA - eng
KW - Khovanov-Rozansky link homology; embedded graphs
UR - http://eudml.org/doc/282781
ER -