Add to ORKGA symplectic manifold gives rise to a triangulated A∞-category, the derived Fukaya category, which encodes information on Lagrangian submanifolds and dynamics as probed by Floer cohomology. This survey aims to give some insight into what the Fukaya category is, where it comes from and what symplectic topologists want to do with it.This is the author accepted manuscript. The final version is available from the American Mathematical Society via http://dx.doi.org/10.1090/S0273-0979-2015-01477-
Preface Part III. Lagrangian Intersection Floer Homology: 12. Floer homology on cotangent bundles ...
This is partly a survey and partly a speculative article, concerning a particular question about Fu...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrang...
Abstract. Given a symplectic manifold M we consider a category with objects finite ordered families ...
Abstract. Given a collection of exact Lagrangians in a Liouville manifold, we construct a map from t...
A new construction of the Fukaya–Seidel category associated with a symplectic Lefschetz fibration is...
The Grassmannian of k-dimensional planes in a complex n-dimensional vector space has a natural sympl...
Abstract. Given an exact symplectic manifold M and a support Lagrangian Λ ⊂ M, we construct an∞-cate...
This is an informal (and mostly conjectural) discussion of some aspects of Fukaya categories. We sta...
Abstract. We construct an analogue of the Fukaya category of a symplectic manifold, for smooth Hamil...
Floer theory is a rich collection of tools for studying symplectic manifolds and their Lagrangian su...
Haydys A. Fukaya-Seidel category and gauge theory. Journal of Symplectic Geometry. 2015;13(1):151-20...
This thesis constructs stable homotopy types underlying symplectic Floer homology, realizing a progr...
Abstract. We prove that the algebra of chains on the based loop space recovers the derived (wrapped)...
Preface Part III. Lagrangian Intersection Floer Homology: 12. Floer homology on cotangent bundles ...
This is partly a survey and partly a speculative article, concerning a particular question about Fu...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...
Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrang...
Abstract. Given a symplectic manifold M we consider a category with objects finite ordered families ...
Abstract. Given a collection of exact Lagrangians in a Liouville manifold, we construct a map from t...
A new construction of the Fukaya–Seidel category associated with a symplectic Lefschetz fibration is...
The Grassmannian of k-dimensional planes in a complex n-dimensional vector space has a natural sympl...
Abstract. Given an exact symplectic manifold M and a support Lagrangian Λ ⊂ M, we construct an∞-cate...
This is an informal (and mostly conjectural) discussion of some aspects of Fukaya categories. We sta...
Abstract. We construct an analogue of the Fukaya category of a symplectic manifold, for smooth Hamil...
Floer theory is a rich collection of tools for studying symplectic manifolds and their Lagrangian su...
Haydys A. Fukaya-Seidel category and gauge theory. Journal of Symplectic Geometry. 2015;13(1):151-20...
This thesis constructs stable homotopy types underlying symplectic Floer homology, realizing a progr...
Abstract. We prove that the algebra of chains on the based loop space recovers the derived (wrapped)...
Preface Part III. Lagrangian Intersection Floer Homology: 12. Floer homology on cotangent bundles ...
This is partly a survey and partly a speculative article, concerning a particular question about Fu...
AbstractWe prove that the algebra of chains on the based loop space recovers the derived (wrapped) F...