Special Issue: Dedicated to 15th Anniversary of the Seminar “Knots and Representation Theory”: Guest Editors: V. O. Manturov, D. P. Ilyutko and I. M. NikonovNo Access

Homotopical Khovanov homology

Vassily Olegovich Manturov

Bauman Moscow State Technical University, Russia

Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk, Russia

E-mail Address: vomanturov@yandex.ru

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and

Igor Mikhailovich Nikonov

Department of Mechanics and Mathematics, Moscow State University, Russia

Faculty of Business and Management, National Research University Higher School of Economics, Russia

E-mail Address: nikonov@mech.math.msu.su

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https://doi.org/10.1142/S0218216515410035Cited by:5 (Source: Crossref)

Abstract

We modify the definition of the Khovanov complex for oriented links in a thickening of an oriented surface to obtain a triply graded homological link invariant with a new homotopical grading.

Keywords:

AMSC: 57M27, 55N35

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