GEOMETRY & TOPOLOGY AT PRINCETON: Invariants for mapping classes of surfaces
GEOMETRY & TOPOLOGY AT PRINCETON: Invariants for mapping classes of surfaces

Artem Kotelskiy , Princeton University
Fine Hall 314
Suppose we are given a mapping class on a surface with boundary, s.t. the boundary is fixed. We will show how to assign to such object two invariants. The first one is an Ainfinity bimodule, which is defined using intersections of curves and their images on a surface. The second is fixed point Floer homology, which counts fixed points of a map representing the mapping class. We will conclude with stating a conjectural connection between these two invariants.