@article{9608f2305d974680babb5ae89c8a50f7,
title = "On stable Khovanov homology of torus knots",
abstract = "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 Poincar{\'e} series turns out to be related to the Rogers-Ramanujan identity.",
keywords = "Khovanov homology, Koszul complex, Rogers-Ramanujan identity, Torus knots",
author = "Eugene Gorsky and Alexei Oblomkov and Jacob Rasmussen",
note = "Funding Information: We are grateful to B. Feigin, S. Gukov, M. Hagencamp, M. Khovanov, A. Kirillov Jr., S. Loktev, L. Rozansky, M. Stoˇsi{\'c}, J. Sussan, O. Viro, and V. Shende for useful discussions. Special thanks to A. Shumakovitch for providing us with valuable Khovanov homology data and explaining the Conjecture 1.8. Most of the computations of the Koszul homology were done using Singular, a computer algebra system. The research of E. G. was partially supported by grants RFBR-10-01-00678, NSh-8462.2010.1 and the Simons foundation. The research of A. O. was partially supported by the NSF and the Sloan Foundation.",
year = "2013",
doi = "10.1080/10586458.2013.798553",
language = "English (US)",
volume = "22",
pages = "265--281",
journal = "Experimental Mathematics",
issn = "1058-6458",
publisher = "Taylor and Francis Ltd.",
number = "3",
}