Algebra and geometry of link homology

Fuente: arXiv
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Autores principales: Gorsky, Eugene, Kivinen, Oscar, Simental, José
Formato: Preprint
Publicado: 2021
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author Gorsky, Eugene
Kivinen, Oscar
Simental, José
author_facet Gorsky, Eugene
Kivinen, Oscar
Simental, José
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2108_10356
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Algebra and geometry of link homology
Gorsky, Eugene
Kivinen, Oscar
Simental, José
Algebraic Geometry
Combinatorics
Geometric Topology
Representation Theory
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.
title Algebra and geometry of link homology
topic Algebraic Geometry
Combinatorics
Geometric Topology
Representation Theory
url https://arxiv.org/abs/2108.10356