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Quasi-states and symplectic intersections | | Michael Entov
; Leonid Polterovich
; | | Date: |
14 Oct 2004 | | Subject: | Symplectic Geometry; Functional Analysis | math.SG math.FA quant-ph | | Abstract: | We establish a link between symplectic topology and a recently emerged branch of functional analysis called the theory of quasi-states and quasi-measures. In the symplectic context quasi-states can be viewed as an algebraic way of packaging certain information contained in Floer theory, and in particular in spectral invariants of Hamiltonian diffeomorphisms introduced recently by Yong-Geun Oh. As a consequence we prove a number of new results on rigidity of intersections in symplectic manifolds. This work is a part of a joint project with Paul Biran. | | Source: | arXiv, math.SG/0410338 | | Services: | Forum | Review | PDF | Favorites | |
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