Symplectic field theory and its applications
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Metadata
Formal Metadata
Title  Symplectic field theory and its applications 
Title of Series  International Congress of Mathematicians, Madrid 2006 
Number of Parts  33 
Author 
Eliashberg, Yakov

License 
CC Attribution 3.0 Germany: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
DOI  10.5446/15951 
Publisher  Instituto de Ciencias Matemáticas (ICMAT) 
Release Date  2006 
Language  English 
Content Metadata
Subject Area  Mathematics 
Abstract  Symplectic field theory (SFT) attempts to approach the theory of holomorphic curves in symplectic manifolds (also called GromovWitten theory) in the spirit of a topological field theory. This naturally leads to new algebraic structures which seems to have interesting applications and connections not only in symplectic geometry but also in other areas of mathematics, e.g. topology and integrable PDE. In this talk we sketch out the formal algebraic structure of SFT and discuss some current work towards its applications. 
Keywords 
symplectic and contact manifolds J holomorphic curves GromovWitten invariants symplectic field theory 