Algebra and geometry of link homology
Abstract
These notes cover the lectures of the first named author at 2021 IHES Summer School on "Enumerative Geometry, Physics and Representation Theory" with additional details and references. They cover the definition of KhovanovRozansky triply graded homology, its basic properties and recent advances, as well as three algebrogeometric models for link homology: braid varieties, Hilbert schemes of singular curves and affine Springer fibers, and Hilbert schemes of points on the plane.
 Publication:

arXiv eprints
 Pub Date:
 August 2021
 arXiv:
 arXiv:2108.10356
 Bibcode:
 2021arXiv210810356G
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Combinatorics;
 Mathematics  Geometric Topology;
 Mathematics  Representation Theory
 EPrint:
 49 pages