Eugene Gorsky
University of California, Davis
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Publication
Featured researches published by Eugene Gorsky.
Duke Mathematical Journal | 2014
Eugene Gorsky; Alexei Oblomkov; Jacob Rasmussen; Vivek Shende
Author(s): Gorsky, E; Oblomkov, A; Rasmussen, J; Shende, V | Abstract:
Experimental Mathematics | 2013
Eugene Gorsky; Alexei Oblomkov; Jacob Rasmussen
We conjecture that the stable Khovanov homology of torus knots can be described as the Koszul homology of an explicit irregular sequence of quadratic polynomials. The corresponding Poincaré series turns out to be related to the Rogers–Ramanujan identity.
Algebraic & Geometric Topology | 2016
Eugene Gorsky; András Némethi
Author(s): Gorsky, E; Nemethi, A | Abstract:
Experimental Mathematics | 2015
Eugene Gorsky; Lukas Lewark
The stable Khovanov– Rozansky homology of torus knots has been conjecturally described as the Koszul homology of an explicit irregular sequence of polynomials. We verify this conjecture using newly available computational data for -homology. Special attention is paid to torsion. In addition, explicit conjectural formulas are given for the -homology of (3, m)-torus knots for all N and m, which are motivated by higher categorified Jones–Wenzl projectors. Structurally similar formulas are proven for Heegard–Floer homology.
Bulletin of The London Mathematical Society | 2018
Eugene Gorsky; S. M. Gusein-Zade
Author(s): Gorsky, E; Gusein-Zade, SM | Abstract:
Journal de Mathématiques Pures et Appliquées | 2015
Eugene Gorsky; Andrei Neguţ
Fundamenta Mathematicae | 2018
Eugene Gorsky; Sergei Gukov; Marko Stosic
Advances in Mathematics | 2015
Pavel Etingof; Eugene Gorsky; Ivan Losev
International Mathematics Research Notices | 2015
Eugene Gorsky; András Némethi
Discrete Mathematics & Theoretical Computer Science | 2014
Eugene Gorsky; Mikhail Mazin; Monica Vazirani
