26 citations · 61 across the 10 of their papers we have counts for
4 papers · 1 filter
A cobordism category attached to Khovanov-Rozansky link homologies based on operads
Gisa Schäfer, Yasuyoshi Yonezawa
We consider colored operads and their actions on categories. As a special example we construct a cobordism category with a colored operad action arising from oriented planar arc di…
Linv invariant and web space
Takuro Sakamoto, Yasuyoshi Yonezawa
In this paper, we reconstruct Kuperberg's web space. We introduce a new web (a trivalent diagram) and new relations between Kuperberg's web diagrams and the new diagram. Usin…
Quantum (sl_n, \land V_n) link invariant and matrix factorizations
Yasuyoshi Yonezawa
M. Khovanov and L. Rozansky gave a categorification of the HOMFLY-PT polynomial. This study is a generalization of the Khovanov-Rozansky homology. We define a homology associated t…
Matrix factorizations and double line in quantum link invariant
Yasuyoshi Yonezawa
This article gives matrix factorizations for the trivalent diagrams and double line appearing in quantum link invariant. These matrix factorizations reconstruct K…