Corpus ID: 125793933

# Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

@article{Evgeny2016FlagHS,
title={Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology},
author={Gorsky Evgeny and Negut Andrei and Rasmussen Jacob},
journal={arXiv: Geometric Topology},
year={2016}
}
• Published 25 August 2016
• Mathematics
• arXiv: Geometric Topology
Author(s): Gorsky, Eugene; Neguţ, Andrei; Rasmussen, Jacob | Abstract: We construct a categorification of the maximal commutative subalgebra of the type $A$ Hecke algebra. Specifically, we propose a monoidal functor from the (symmetric) monoidal category of coherent sheaves on the flag Hilbert scheme to the (non-symmetric) monoidal category of Soergel bimodules. The adjoint of this functor allows one to match the Hochschild homology of any braid with the Euler characteristic of a sheaf on the…
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• 2017
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Generalized $q,t$-Catalan numbers
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• 2020
Author(s): Gorsky, Eugene; Hawkes, Graham; Schilling, Anne; Rainbolt, Julianne | Abstract: Recent work of the first author, Negut and Rasmussen, and of Oblomkov and Rozansky in the context of
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Abstract Rickard complexes in the context of categorified quantum groups can be used to construct braid group actions. We define and study certain natural deformations of these complexes which we
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• 2020
We describe a new geometric model for the Hochschild cohomology of Soergel bimodules based on the monodromic Hecke category studied earlier by the first author and Yun. Moreover, in type A, we
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Abstract We generalize the construction of geometric superpolynomials for unibranch plane curve singularities from our prior paper from rank one to any ranks; explicit formulas are obtained for torus
3D TQFT and HOMFLYPT homology
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In this note we propose a 3D TQFT such that its Hilbert space on $S^2$, which intersects with defect surfaces along a (possibly self-intersecting) curve $C$ is the HOMFLYPT homology of the link whose

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