Math @ Duke

Publications [#243935] of Lenhard L. Ng
Papers Published
 Lipshitz, R; Ng, L; Sarkar, S, On transverse invariants from Khovanov homology,
Quantum Topology, vol. 6 no. 3
(January, 2015),
pp. 475513, ISSN 1663487X [doi]
(last updated on 2018/10/23)
Abstract: © European Mathematical Society. In [31], O. Plamenevskaya associated to each transverse knot K an element of the Khovanov homology of K. In this paper, we give two re_nements of Plamenevskaya’s invariant, one valued in BarNatan’s deformation (from [2] ) of the Khovanov complex and another as a cohomotopy element of the Khovanov spectrum (from [20]). We show that the first of these refinements is invariant under negative flypes and SZ moves; this implies that Plamenevskaya’s class is also invariant under these moves. We go on to show that for smallcrossing transverse knots K, both re_nements are determined by the classical invariants of K.


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