Algebra and geometry of link homology: lecture notes from the IHES 2021 Summer School. (English) Zbl 1529.14001
From the authors’ abstract: E. Gorsky, O. Kivinen, and J. Simental gives an expository “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.”
This is a very well-written notes suitable for graduate students to experts in mathematical physics and representation theory.
This is a very well-written notes suitable for graduate students to experts in mathematical physics and representation theory.
Reviewer: Mee Seong Im (Annapolis)
MSC:
| 14C05 | Parametrization (Chow and Hilbert schemes) |
| 57K18 | Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) |
Keywords:
Khovanov-Rozansky homology; Khovanov-Rozansky triply graded homology; link homology; braid varieties; Hilbert schemes of singular curves; affine Springer fibers; Hilbert schemes of points on the planeReferences:
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