Add to ORKGAbstract. We prove that the algebra of chains on the based loop space recovers the derived (wrapped) Fukaya category of the cotangent bundle of a closed smooth oriented manifold. The main new idea is the proof that a cotangent fibre generates the Fukaya category using a version of the map from symplectic cohomology to the homology of the free loop space introduced by Cieliebak and Latschev. Content
We define a new class of symplectic spaces called ``pumpkin domains'', which roughly speaking compri...
We define a new class of symplectic spaces called ``pumpkin domains'', which roughly speaking compri...
Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrang...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
We build the wrapped Fukaya category W(E) for any monotone symplectic manifold, convex at infinity. ...
Abstract. Given a collection of exact Lagrangians in a Liouville manifold, we construct a map from t...
The Grassmannian of k-dimensional planes in a complex n-dimensional vector space has a natural sympl...
82 pages, 7 figures. Revised version with some (non-critical) corrections and clarifications about W...
82 pages, 7 figures. Revised version with some (non-critical) corrections and clarifications about W...
A new construction of the Fukaya–Seidel category associated with a symplectic Lefschetz fibration is...
This is an informal (and mostly conjectural) discussion of some aspects of Fukaya categories. We sta...
A symplectic manifold gives rise to a triangulated A∞-category, the derived Fukaya category, which e...
Abstract. Let M be an exact symplectic manifold with contact type boundary such that c1(M) = 0. In ...
For manifolds $M$ with a specific rational homotopy type, I study a non-commutative Landau-Ginzburg ...
We define a new class of symplectic spaces called ``pumpkin domains'', which roughly speaking compri...
We define a new class of symplectic spaces called ``pumpkin domains'', which roughly speaking compri...
Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrang...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
We build the wrapped Fukaya category W(E) for any monotone symplectic manifold, convex at infinity. ...
Abstract. Given a collection of exact Lagrangians in a Liouville manifold, we construct a map from t...
The Grassmannian of k-dimensional planes in a complex n-dimensional vector space has a natural sympl...
82 pages, 7 figures. Revised version with some (non-critical) corrections and clarifications about W...
82 pages, 7 figures. Revised version with some (non-critical) corrections and clarifications about W...
A new construction of the Fukaya–Seidel category associated with a symplectic Lefschetz fibration is...
This is an informal (and mostly conjectural) discussion of some aspects of Fukaya categories. We sta...
A symplectic manifold gives rise to a triangulated A∞-category, the derived Fukaya category, which e...
Abstract. Let M be an exact symplectic manifold with contact type boundary such that c1(M) = 0. In ...
For manifolds $M$ with a specific rational homotopy type, I study a non-commutative Landau-Ginzburg ...
We define a new class of symplectic spaces called ``pumpkin domains'', which roughly speaking compri...
We define a new class of symplectic spaces called ``pumpkin domains'', which roughly speaking compri...
Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrang...