Orateur: Wojciech
Politarczyk (Warsaw University)
Titre: Khovanov homology
of periodic links.
Résumé:
A link L is periodic if it admits a diagram which is invariant under
a semi-free rotation of R^3. I will discuss how we can adapt some tools from
equivariant algebraic topology and representation theory to work for
Khovanov homology of periodic links. This leads to a construction of
equivariant Khovanov homology which is an invariant of periodic links under
equivariant isotopies. Equivariant Khovanov homology can be used to study
whether a given link is periodic, but, on the other hand, this invariant can
also reveal some information about Khovanov homology itself.