Local symplectic field theory

2011/04/18 by Oliver Fabert, Fabert, Oliver
Mathematics · Physics and Astronomy · #53D42 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG) #math-ph #math.DG #math.MP #math.SG #msc:53D42

paper · pdf · doi:10.48550/arxiv.1104.3504

arxiv created 2013/02/22 · arxiv updated 2013/02/25

Abstract

Generalizing local Gromov-Witten theory, in this paper we define a local version of symplectic field theory. When the symplectic manifold with cylindrical ends is four-dimensional and the underlying simple curve is regular by automatic transversality, we establish a transversality result for all its multiple covers and discuss the resulting algebraic structures.

Related

• Introduction to Symplectic Field Theory
• Transversality problems in symplectic field theory and a new Fredholm theory
• Symplectic hypersurfaces and transversality in Gromov-Witten theory
• Lectures on Polyfolds and Symplectic Field Theory
• Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory