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Transversality problems in symplectic field theory and a new Fredholm theory

2010/03/02 by Oliver Fabert, Fabert, Oliver
Mathematics · #53D40 #53D42 #53D45 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D40 #msc:53D42 #msc:53D45

paper · pdf · doi:10.48550/arxiv.1003.0651

17 pages, survey

arxiv created 2010/03/19 · arxiv updated 2010/03/22

Abstract

This survey wants to give a short introduction to the transversality problem in symplectic field theory and motivate to approach it using the new Fredholm theory by Hofer, Wysocki and Zehnder. With this it should serve as a lead-in for the user's guide to polyfolds, which will appear soon and is the result of a working group organized by J. Fish, R. Golovko and the author at MSRI Berkeley in fall 2009.

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