Yasuyoshi Yonezawa, Univ. of the Algarve and IST
Quantum ( sln , Vn ) 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 Uq(sl n) and its vector representation V n by using matrix factorizations. In my thesis, I study a generalization of the Khovanov-Rozansky homology for the quantum link invariant associated to Uq(sl n) and its fundamental representations V n. In this talk, I will define a new link invariant derived from the generalization of Khovanov-Rozansky homology.
Support: FCT, CAMGSD, New Geometry and Topology