The index of Floer moduli problems for parametrized action functionals

2012/07/23 by Frédéric Bourgeois, Bourgeois, Frédéric, Alexandru Oancea +1
Mathematics · #53D12 #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D12 #msc:53D40

paper · pdf · doi:10.48550/arxiv.1207.5360

18 pages. This paper contains and extends the discussion of the index that was part of the first version of our paper arXiv:0909.4526. To appear in Geometriae Dedicata, Special Issue GESTA 2011

arxiv created 2012/07/23 · arxiv updated 2012/07/24

Abstract

We define an index for the critical points of parametrized Hamiltonian action functionals. The expected dimension of moduli spaces of parametrized Floer trajectories equals the difference of indices of the asymptotes.

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