3 papers
math.SG2024
Recovering generalized homology from Floer homology: the complex oriented case
Laurent Côté, Yusuf Barış Kartal
We associate an invariant called the completed Tate cohomology to a filtered circle-equivariant spectrum and a complex oriented cohomology theory. We show that when the filtered sp…
math.AT2023
Equivariant Floer homotopy via Morse-Bott theory
Laurent Côté, Yusuf Barış Kartal
We generalize the Cohen-Jones-Segal construction to the Morse-Bott setting. In other words, we define framings for Morse-Bott analogues of flow categories and associate a stable ho…
math.SG2021
Algebraic sheaves of Floer homology groups via algebraic torus actions on the Fukaya category
Yusuf Barış Kartal
Let be a monotone or negatively monotone symplectic manifold, or a Weinstein manifold. One can construct an "action" of on the Fukaya category (wrap…