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Abstract: Branched covers of orbit cylinders are the basic examples of holomorphiccurves studied in symplectic field theory. Since all curves with Fredholm indexone can never be regular for any choice of cylindrical almost complexstructure, we generalize the obstruction bundle technique of Taubes fordetermining multiple cover contributions from Gromov-Witten theory to the caseof moduli spaces with boundary. Our result proves that the differential inrational symplectic field theory and contact homology is strictly decreasingwith respect to the natural action filtration.



Autor: Oliver Fabert

Fuente: https://arxiv.org/







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