MPIM

Topological Fukaya category for surfacesMPIM

by Kyungmin Rho (MPIM)

Europe/Berlin
Description

Seminar "Multicurve invariants in Khovanov homology"

This talk presents a purely topological model for wrapped Fukaya categories of surfaces, avoiding symplectic geometry and analytical techniques. The construction is based on combinatorial data of arcs and trajectories on surfaces, yielding a triangulated category that models the wrapped Fukaya category in a topological way. As an application, we obtain a homological mirror symmetry correspondence with gentle algebras arising from the same surface data.