Lagrangian Intersection Floer Theory
By K. Fukaya, Yong-Geun Oh, H. Ohta, K. Ôno. 2009
96 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/57af5aa2dc07151c3f54e64b0257f897ec2b965c
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In Civil and Structural Engineering
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Citations in the corpus
- Punctured holomorphic curves and Lagrangian embeddings (2014, methodology): “ stretching procedure. (In the case of Theorem 1.18 the proof actually only uses regularity in X\L). There are three known techniques one could invoke to achieve such regularity: Kuranishi structures [28], polyfolds [36], and domain dependent perturbations [18]. In the remainder of this paper we wil”
- Toric degenerations of Gelfand-Cetlin systems and potential functions (2008, methodology): “The potential function is a Floer theoretic invariant of a Lagrangian submanifold introduced by Fukaya, Oh, Ohta and Ono [8], which encodes the information of holomorphic disks with Lagrangian boundary condition.”
- Disk enumeration on the quintic 3-fold (2006, methodology): “However, a symplectic invariant via disk enumeration is not defined in [3].”
- Geometric criteria for overtwistedness (2015, unknown): “ase where L(W;) is an exact Lagrangian and SWis a Lagrangian sphere transversely intersecting Lin one point. In this case, the Dehn twist of Laround S can be interpreted as the Polterovich surgery [28, 46] of Land S, denoted by L+ S. The denition and details of the Polterovich surgery will be given ”
- Topological K-theory of complex noncommutative spaces (2012, background): “For example in algebraic geometry the derived category of perfect complexes of quasi-coherent sheaves [BO02], [Orl03]; in symplectic geometry the Fukaya category of a symplectic variety [FOOO00], [Sei08]; in representation theory the derived category of complexes of representations of a quiver [Kel0”