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Durham University

Department of Mathematical Sciences


This week's seminars

Geometry and Topology Seminar: Equivariant Khovanov homotopy type

Presented by Wojciech Politarczyk, Warsaw

14 February 2019 13:00 in CM301

Lipshitz and Sarkar associated to any link L in the
3-sphere a certain prespectrum X_{Kh}(L) whose stable
homotopy type is a link invariant.
Moreover, the reduced cohomology of X_{Kh}(L) is
isomorphic to the Khovanov homology of L.
A link L may admit nontrivial symmetries, hence a natural
question to ask is whether these symmetries can be lifted to
It turns out that in the case of rotational symmetries such a lift
exists and equips X_{Kh}(L) with a group action.
The purpose of this talk is to discuss consequences of the
existence of the group action on X_{Kh}(L) induced
by the symmetry of L.
In particular, by studying the fixed points of the action we will
obtain a nontrivial relation between the Khovanov homology of a
periodic link and the Khovanov homology of the quotient link.
If time permits, we will also sketch the construction of the group

Contact Andrew Lobb or Mark Powell for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.