Seminario Geometría
Floer theory and links in \(S^1 \times S^2\)
Ponente: Jesse Cohen (U. Hamburg)Fecha: miércoles 07 de mayo de 2025 - 11:30Lugar: Aula Naranja, ICMAT
Resumen:
Heegaard Floer homology is a suite of powerful functorial invariants of smooth 3-manifolds (with or without boundary), and 4-dimensional cobordisms between them, constructed using tools from symplectic geometry and having a close relationship with Khovanov homology, which is a combinatorially defined link invariant. In this talk, I will explain how computing cobordism maps in Heegaard Floer can be effectively reduced to computing composition of module homomorphisms, how this gives rise to invariants of tangles, and how one can extract from the latter a spectral sequence whose \(E_2\)-page is a categorification of the stable \(SU(2)\) Witten--Reshetikhin--Turaev invariant of links in \(S^1\times S^2\).
