UBC Topology Seminar: Antonio Alfieri (Online)

I will introduce deformations of lattice cohomology corresponding to the knot homologies found by Ozsváth, Stipsicz and Szabó in https://arxiv.org/abs/1407.1795. If time permits I will show that by means of holomorphic triangles counting, one can prove equivalence with the analytic theory in the case of algebraic knots sitting in graph manifolds with at most one bad point. This yields to some interesting combinatorial formulae for the upsilon invariant of the latter knots.