Sectorial descent for wrapped Fukaya categories
From MaRDI portal
Publication:6187816
DOI10.1090/jams/1035arXiv1809.03427MaRDI QIDQ6187816
Sheel Ganatra, John Pardon, Vivek Shende
Publication date: 1 February 2024
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.03427
Symplectic and contact topology in high or arbitrary dimension (57R17) Symplectic aspects of Floer homology and cohomology (53D40) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)
Related Items
Lagrangian multi-sections and their toric equivariant mirror, Mirror symmetry for Berglund-Hübsch Milnor fibers
Cites Work
- Legendrian knots and exact Lagrangian cobordisms
- Legendrian ambient surgery and Legendrian contact homology
- Effect of Legendrian surgery
- On the wrapped Fukaya category and based loops
- Lagrangian cobordisms via generating families: construction and geography
- Existence of Lefschetz fibrations on Stein and Weinstein domains
- A geometric criterion for generating the Fukaya category
- A cotangent fibre generates the Fukaya category
- The Künneth formula in Floer homology for manifolds with restricted contact type boundary
- An open string analogue of Viterbo functoriality
- A construction of quotient \(A_\infty\)-categories
- Fukaya categories and Picard-Lefschetz theory
- \(A_\infty\)-subalgebras and natural transformations
- Quilted Floer cohomology
- Floer homology of cotangent bundles and the loop product
- A duality exact sequence for Legendrian contact homology
- Invariants in contact topology
- Contact surgery and symplectic handlebodies
- Holomorphic curves in symplectic geometry
- A long exact sequence for symplectic Floer cohomology
- Differential algebra of Legendrian links
- Handle attaching in symplectic homology and the chord conjecture
- Triangulated surfaces in triangulated categories
- Homological mirror symmetry for hypersurface cusp singularities
- Versality of the relative Fukaya category
- Liouville hypersurfaces and connect sum cobordisms
- Covariantly functorial wrapped Floer theory on Liouville sectors
- A stable \(\infty\)-category of Lagrangian cobordisms
- Quilted strips, graph associahedra, and \(A_\infty n\)-modules
- Cone-decompositions of Lagrangian cobordisms in Lefschetz fibrations
- On the Fukaya categories of higher genus surfaces
- Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
- Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold
- A proof of the Kontsevich-Soǐbel'man conjecture
- Fukaya categories and bordered Heegaard-Floer homology
- A_infinity-morphisms with several entries
- TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
- Lefschetz fibrations and exotic symplectic structures on cotangent bundles of spheres
- Homotopy colimits in the category of small categories
- Auslander orders over nodal stacky curves and partially wrapped Fukaya categories
- Lagrangian cobordism. I
- Flexible Lagrangians
- Weinstein manifolds revisited
- Topological Fukaya category and mirror symmetry for punctured surfaces
- On partially wrapped Fukaya categories
- Fukaya categories of symmetric products and bordered Heegaard-Floer homology
- A note on the front spinning construction
- A note on exact Lagrangian cobordisms with disconnected Legendrian ends
- Higher Topos Theory (AM-170)
- Duality between Lagrangian and Legendrian invariants
- Floer theory and reduced cohomology on open manifolds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
