181 citations · 551 across the 67 of their papers we have counts for
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A categorification of the skein module of tangles
Marta M. Asaeda, Jozef H. Przytycki, Adam S. Sikora
We generalize our previous work on categorification of Kauffman bracket skein module of surfaces, by extending our homology to tangles in cylinders over surfaces, F x [0,1]. Our ho…
Categorification of the Kauffman bracket skein module of I-bundles over surfaces
Marta M. Asaeda, Jozef H. Przytycki, Adam S. Sikora
Khovanov defined graded homology groups for links L in R^3 and showed that their polynomial Euler characteristic is the Jones polynomial of L. Khovanov's construction does not exte…
Skein theory for SU(n)-quantum invariants
Adam S. Sikora
For any n>1 we define an isotopy invariant, <Gamma>_n, for a certain set of n-valent ribbon graphs Gamma in R^3, including all framed oriented links. We show that our bracket coinc…
Khovanov homology of links in I-bundles over surfaces
Marta M. Asaeda, Jozef H. Przytycki, Adam S. Sikora
The papers math.QA/0403527 and math.QA/0409414 v.1 are now merged together. The final version is available at math.QA/0409414 v.2. To avoid duplication of papers, math.QA/0403527 i…