Quasi-states and symplectic intersections

• Autores: Michael Entov, Leonid Polterovich
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 1, 2006, págs. 75-99
• Idioma: inglés
• DOI: 10.4171/cmh/43
• Texto completo no disponible (Saber más ...)
• Resumen

  • We establish a link between symplectic topology and a recently emerg\-ed branch of functional analysis called the theory of quasi-states and quasi-measures (also known as topological 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.