Equivariant Khovanov homotopy type

Speaker(s)

Wojciech Politarczyk

Affiliation

MIMUW

Date

Nov. 13, 2018, 4:15 p.m.

Room

room 4070

Seminar

Seminar Algebraic Topology

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Given a link L in S^3, Lipshitz and Sarkar constructed a suspension spectrum X_L whose stable homotopy type is an invariant of L.
When the link is periodic, i.e. it admits a special type of rotational symmetry, it is natural to ask whether this symmetry descends to X_L.

In may talk I will sketch how to extend the construction of Lipshitz and Sarkar in order to incorporate the group action.
I will also discuss invariance of the resulting equivariant spectrum under equivariant isotopies of links and its relation to equivariant Khovanov homology.

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