An open string analogue of Viterbo functoriality
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Publication:848144
DOI10.2140/gt.2010.14.627zbMath1195.53106arXiv0712.3177OpenAlexW3102579050WikidataQ102039468 ScholiaQ102039468MaRDI QIDQ848144
Paul Seidel, Mohammed Abouzaid
Publication date: 23 February 2010
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.3177
Lagrangian submanifoldswrapped Floer cohomology\(A_{\infty}\)-structure\(A_{\infty}\)-homomorphismLiouville domains
Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fukaya categories and Picard-Lefschetz theory
- On the structure of pseudo-holomorphic discs with totally real boundary conditions
- Zero-loop open strings in the cotangent bundle and Morse homotopy
- Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
- Coherent orientations for periodic orbit problems in symplectic geometry
- Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
- Applications of symplectic homology. I
- Symplectic homology. II: A general construction
- Symplectic fixed points and holomorphic spheres
- Decomposition into pairs-of-pants for complex algebraic hypersurfaces
- Transversality in elliptic Morse theory for the symplectic action
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- Functors and computations in Floer homology with applications. I
- Applications of symplectic homology. II: Stability of the action spectrum
- Exact Lagrangian submanifolds in simply-connected cotangent bundles
- Homogeneous coordinate rings and mirror symmetry for toric varieties
- Quivers, Floer cohomology, and braid group actions
- The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
- On the Floer homology of cotangent bundles
- A biased view of symplectic cohomology
- Introduction to \(A\)-infinity algebras and modules