Mathematics Colloquia and Seminars
Flag varieties, Gukov-Witten defect and HOMFLY-PT link homology IIQMAP Seminar
|Speaker:||Lev Rozansky, UNC, Chapel Hill|
|Start time:||Fri, Oct 21 2016, 12:15PM|
In order to include tame ramifications in the Kapustin-Witten approach to Langlands duality, Gukov and Witten supplemented the 4d topological YM TQFT with a 2-dimensional defect. This defect is characterized by certain `irrelevant' parameters which `braid' along the defect. The irrelevant parameters braiding along a defect knot in a 3-space determine a closed braid. We argue that the space of states corresponding to an unknot in 3-sphere is the HOMFLY-PT homology of this invisible braid by giving a QFT interpretation of our mathematical construction.