Yasuyoshi Yonezawa, Univ. of the Algarve and IST
Quantum link invariant and matrix factorizations.
M. Khovanov and L. Rozansky constructed a homology for a link diagram whose Euler characteristic is the quantum link invariant associated to the quantum group and its vector representation by using matrix factorizations. In my thesis, I study a generalization of the Khovanov-Rozansky homology for the quantum link invariant associated to and its fundamental representations . In this talk, I will define a new link invariant derived from the generalization of Khovanov-Rozansky homology.