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Flag varieties, Gukov-Witten defect and HOMFLY-PT link homology II

QMAP Seminar

Speaker: Lev Rozansky, UNC, Chapel Hill
Location: 2112 MSB
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.



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