Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Kartal, Yusuf"'
Autor:
Côté, Laurent, Kartal, Yusuf Barış
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 spectrum is the spectral symplectic cohomology of a Liouville manifold,
Externí odkaz:
http://arxiv.org/abs/2404.02776
Autor:
Côté, Laurent, Kartal, Yusuf Barış
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 homotopy type to this data. We use this to recover the stable homotopy t
Externí odkaz:
http://arxiv.org/abs/2309.15089
Publikováno v:
In Information and Software Technology September 2024 173
Autor:
Kartal, Yusuf Barış
Let $(M,\omega_M)$ be a monotone or negatively monotone symplectic manifold, or a Weinstein manifold. One can construct an "action" of $H^1(M,\mathbb{G}_m)$ on the Fukaya category (wrapped Fukaya category in the exact case) that reflects the action o
Externí odkaz:
http://arxiv.org/abs/2109.12256
Autor:
Côté, Laurent, Kartal, Yusuf Barış
We develop a purely categorical theory of action filtrations and their associated growth invariants. When specialized to categories of geometric interest, such as the wrapped Fukaya category of a Weinstein manifold, and the bounded derived category o
Externí odkaz:
http://arxiv.org/abs/2108.05938
Autor:
Kartal, Yusuf Bariș.
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 217-223).
The main goal of this thesis is to use homological method
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 217-223).
The main goal of this thesis is to use homological method
Externí odkaz:
https://hdl.handle.net/1721.1/122167
Autor:
Kartal, Yusuf Barış
Inspired by the work of Bell on dynamical Mordell-Lang conjecture, and by the family Floer homology, we construct $p$-adic analytic families of bimodules on the Fukaya category of a monotone or negatively monotone symplectic manifold, interpolating t
Externí odkaz:
http://arxiv.org/abs/2008.08566
Autor:
Kartal, Yusuf Barış
Publikováno v:
Geom. Topol. 25 (2021) 1551-1630
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 a symplectic manifold $T_\phi$ associated to a Weinstein domain $M$, a
Externí odkaz:
http://arxiv.org/abs/1907.01156
Akademický článek
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Autor:
Kartal, Yusuf Barış
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 category and an auto-equivalence, satisfying certain assumptions, we in
Externí odkaz:
http://arxiv.org/abs/1809.04046