A Categorification of Super Hopf Algebra U_t sl (1|1) via Contact Topology
Speaker(s): Yin Tian (Tsinghua University)
Time: 15:15-17:15 November 17, 2016
Venue: Room 9, Quan Zhai, BICMR
Abstract: Representation theory of quantum groups has profound applications to low-dimensional topology in the framework of Reshetikhin-Turaev invariants. The Alexander polynomial of knots can be recovered from the representation theory of super quantum sl (1|1); moreover, the knot Floer homology gives rise to a categorification of the Alexander polynomial. In this talk, we will construct triangulated categories motivated by contact topology to categorify U_t sl (1|1) as a variant of U_q sl(1|1) and its tensor product representations.