LECTURES ON FLOER THEORY AND SPECTRAL INVARIANTS OF HAMILTONIAN FLOWS
By Yong-Geun Oh. 2006
48 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/46fa9de82afa2b2671c747a16e78c266eab433af
How researchers see this paper
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In Geometry and Topology
- O. Cornea
- P. Biran
- Sobhan Seyfaddini
- Vincent Humilière
- Michael Usher
- Lev Buhovsky
- E. Shelukhin
- L. Polterovich
In Mathematical Physics
- O. Cornea
- P. Biran
- Michael Usher
- Sobhan Seyfaddini
- Lev Buhovsky
- Vincent Humilière
- L. Polterovich
- E. Shelukhin
Citations in the corpus
- Quantum Structures for Lagrangian Submanifolds (2007, background): “We refer the reader to [59, 53, 51, 52, 46, 45, 44] for the foundations of the theory of spectral invariants.”
- THE SHARP ENERGY-CAPACITY INEQUALITY (2008, background): “The construction and properties of ρ are nicely surveyed in [21]; here we just summarize a few basic points.”
- Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds (2009, background): “(We give a few more details in Section 4 below and refer to [30] for a full survey.”
- Rigidity and uniruling for Lagrangian submanifolds (2008, methodology): “Recall that, by work of Oh [47] and Schwarz [49] we can associate to any 2 e Ham.”
- The action spectrum and $$C^0$$ symplectic topology (2018, background): “Spectral invariants satisfy the following properties whose proofs can be found in [46] as well as [37, 38, 54].”
- Spectral numbers in Floer theories (2007, background): “These spectral numbers have been studied in some detail in the case of Hamiltonian Floer homology (see [10] for a survey); in this case the allowed perturbations of the action functional correspond to Hamiltonian flows on a symplectic manifold, and the properties of the spectral numbers have yielded”
- Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms (2010, background): “Theorem 1.1 allows one to define deformed versions ρ(a; H)η of the Oh-Schwarz spectral invariants ([Sc00],[Oh06]) in a standard way: where a ∈ H∗(M ;Λω) and H is suitably nondegenerate ρ(a; H)η is the infimal filtration level of a chain representing the homology class Φ PSS η,H a.”