Symplectic field theory and its applications
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Title 
Symplectic field theory and its applications

Title of Series  
Number of Parts 
33

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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. 
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Release Date 
2006

Language 
English

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Subject Area  
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

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21:40
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