2 citations · 3 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
Iterations of symplectomorphisms and p-adic analytic actions on the Fukaya category
Yusuf Barış Kartal
Inspired by the work of Bell on the dynamical Mordell-Lang conjecture, and by family Floer cohomology, we construct p-adic analytic families of bimodules on the Fukaya category of…
Distinguishing open symplectic mapping tori via their wrapped Fukaya categories
Yusuf Barış Kartal
In this paper, we present partial results towards a classification of symplectic mapping tori using dynamical properties of wrapped Fukaya categories. More precisely, we construct…
Dynamical invariants of mapping torus categories
Yusuf Barış Kartal
This paper describes constructions in homological algebra that are part of a strategy whose goal is to understand and classify symplectic mapping tori. More precisely, given a dg c…