Lectures on knot homology
arXiv:1510.01795
Abstract
We provide various formulations of knot homology that are predicted by string dualities. In addition, we also explain the rich algebraic structure of knot homology which can be understood in terms of geometric representation theory in these formulations. These notes are based on lectures in the workshop "Physics and Mathematics of Link Homology" at Centre de Recherches Mathematiques, Universite de Montreal.
46 pages, To appear in Proceedings of "Workshop on Physics and Mathematics of Link Homology", at Centre de Recherches Mathematiques, Universite de Montreal: v2 improvement in sec 2.2; v3 minor corrections and references added; v4 Figure 2.2 is corrected