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arXiv · 2108.10356

Algebra and geometry of link homology

Eugene Gorsky·Oscar Kivinen·José Simental
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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 Khovanov-Rozansky triply graded homology, its basic properties and recent advances, as well as three algebro-geometric models for link homology: braid varieties, Hilbert schemes of singular curves and affine Springer fibers, and Hilbert schemes of points on the plane.

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Eugene Gorsky, Oscar Kivinen, José Simental. 2021-08-23. Algebra and geometry of link homology. https://arxiv.org/abs/2108.10356

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