Equivariant formulation of Grid Homology (Giovanni Framba)

Orateur : Giovanni Framba

Lieu : salle des Séminaires M3

Résumé :

In this talk, we present an equivariant formulation of grid homology for strongly invertible knots. We consider a family of symmetric grid diagrams encoding the strong inversion. A symmetric grid induces an involution on the associated grid complex. We study the mapping cone of the sum of the identity and this involution, proving that its homology is an invariant of strongly invertible knots. Finally, we extract equivariant invariants of strongly invertible knots, analogous to the tau invariant and to the Legendrian grid invariants.