caa a22 4500 445836865 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0730-5 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0730-5 Fabert Oliver Mathematisches Institut der Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333, Munich, Germany aut Obstruction bundles over moduli spaces with boundary and the action filtration in symplectic field theory [Elektronische Daten] [Oliver Fabert] Branched covers of orbit cylinders are the basic examples of holomorphic curves studied in symplectic field theory. Since all curves with Fredholm index one can never be regular for any choice of cylindrical almost complex structure, we generalize the obstruction bundle technique of Taubes for determining multiple cover contributions from Gromov-Witten theory to the case of moduli spaces with boundary. Our result proves that the differential in rational symplectic field theory and contact homology is strictly decreasing with respect to the natural action filtration. Springer-Verlag, 2010 Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 325-372 0025-5874 269:1-2<325 2011 269 209 https://doi.org/10.1007/s00209-010-0730-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0730-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fabert Oliver Mathematisches Institut der Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333, Munich, Germany aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 325-372 0025-5874 269:1-2<325 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer