Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Côté, Laurent"'
Kashiwara showed in 1996 that the categories of microlocalized D-modules can be canonically glued to give a sheaf of categories over a complex contact manifold. Much more recently, and by rather different considerations, we constructed a canonical no
Externí odkaz:
http://arxiv.org/abs/2406.16222
To a conical symplectic resolution with Hamiltonian torus action, Braden--Proudfoot--Licata--Webster associate a category O, defined using deformation quantization (DQ) modules. It has long been expected, though not stated precisely in the literature
Externí odkaz:
http://arxiv.org/abs/2406.01379
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
An exact complex symplectic manifold carries a sheaf of stable categories, locally equivalent to a microlocalization of a category of constructible sheaves. This sheaf of categories admits a t-structure, whose heart is locally equivalent to a microlo
Externí odkaz:
http://arxiv.org/abs/2209.12998
Autor:
Bai, Shaoyun, Côté, Laurent
We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On the algebro-geometric side, we introduce a new method based on symple
Externí odkaz:
http://arxiv.org/abs/2110.10663
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:
Côté, Laurent
The goal of this note is to describe some constructions of Weinstein manifolds with chaotic Reeb dynamics, and to explain how this property can sometimes be detected directly from the skeleton.
Comment: 12 pages; 1 figure. v2: applications mostl
Comment: 12 pages; 1 figure. v2: applications mostl
Externí odkaz:
http://arxiv.org/abs/2011.05120
Publikováno v:
Geom. Topol. 28 (2024) 1-125
Codimension 2 contact submanifolds are the natural generalization of transverse knots to contact manifolds of arbitrary dimension. In this paper, we construct new invariants of codimension 2 contact submanifolds. Our main invariant can be viewed as a
Externí odkaz:
http://arxiv.org/abs/2009.06738
We study symplectic rigidity phenomena for fibers in cotangent bundles of Riemann surfaces. Our main result can be seen as a generalization to open Riemann surfaces of arbitrary genus of work of Eliashberg and Polterovich on the Nearby Lagrangian Con
Externí odkaz:
http://arxiv.org/abs/2004.04233