Khovanov-Rozansky homology for embedded graphs

• Autorzy: Emmanuel Wagner
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M27: Invariants of knots and 3-manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 214
• Numer: 3
• Strony: 201-214

Daty

wydano

2011

Twórcy

autor

Emmanuel Wagner

• Institut de Mathématiques de Bourgogne, Université de Bourgogne, UMR 5584 du CNRS, BP 47870, 21078 Dijon Cedex, France

Identyfikatory

DOI

10.4064/fm214-3-1