منابع مشابه
Three Lectures on Fukaya-Seidel Categories and Web-Based Formalism
Lecture notes for three lectures in Florida, Jan. 26-29, 2015. These lectures describe some aspects of a forthcoming paper with D. Gaiotto and E. Witten, Version: January 29, 2015
متن کاملConstructible Sheaves and the Fukaya Category
Let X be a compact real analytic manifold, and let T ∗X be its cotangent bundle. Let Sh(X) be the triangulated dg category of bounded, constructible complexes of sheaves on X. In this paper, we develop a Fukaya A∞-category Fuk(T ∗X) whose objects are exact, not necessarily compact Lagrangian branes in the cotangent bundle. We write TwFuk(T ∗X) for the A∞-triangulated envelope of Fuk(T ∗X) consi...
متن کاملRemarks On A-branes, Mirror Symmetry, And The Fukaya Category
We discuss D-branes of the topological A-model (A-branes), which are believed to be closely related to the Fukaya category. We give string theory arguments which show that A-branes are not necessarily Lagrangian submanifolds in the Calabi-Yau: more general coisotropic branes are also allowed, if the line bundle on the brane is not flat. We show that a coisotropic A-brane has a natural structure...
متن کاملOn the Wrapped Fukaya Category and Based Loops
Given an exact Lagrangian embedding Q ⊂ M , we construct an A∞ restriction functor from the wrapped Fukaya category of M to the category of modules on the differential graded algebra of chains over the based loop space of Q. If M is the cotangent bundle of Q, this functor induces an A∞ equivalence between the wrapped Floer cohomology of a cotangent fibre and the chains over the based loop space...
متن کاملExercises for Mini-course on the Fukaya Category
(1) Give a purely combinatorial definition of the Floer cochain complex (CF (L0, L1), ∂) over ΛZ2 . In particular, prove that ∂ 2 = 0. (2) Now do the same, but over ΛK where K is an arbitrary field (not necessarily of characteristic 2). (3) How far can the conditions on the Li be relaxed? Can they be immersed curves, or nullhomotopic curves? (4) More generally, let L0, . . . , Lk be transversel...
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ژورنال
عنوان ژورنال: Journal of Symplectic Geometry
سال: 2015
ISSN: 1527-5256,1540-2347
DOI: 10.4310/jsg.2015.v13.n1.a5