TY - ELEC
DB - /z-wcorg/
DP - http://worldcat.org
ID - 809038246
LA - English
UR - http://purl.stanford.edu/wt500bq8486
T1 - Filtered floer and symplectic homology via Gromov-Witten theory
AU - De Matos Geraldes Diogo, Luís Miguel Pereira.
AU - Eliashberg, Y.,
AU - Galatius, Søren,
AU - Ionel, Eleny,
AU - Stanford University.
AU - Department of Mathematics.
Y1 - 2012///
AB - We describe a procedure for computing Floer and symplectic homology groups, with action filtration and algebraic operations, in a class of examples. Namely, we consider closed monotone symplectic manifolds with smooth symplectic divisors, Poincaré dual to a positive multiple of the symplectic form. We express the Floer homology of the manifold and the symplectic homology of the complement of the divisor, for a special class of Hamiltonians, in terms of absolute and relative Gromov--Witten invariants, and some additional Morse-theoretic information. As an application, we compute the symplectic homology rings of cotangent bundles of spheres, and compare our results with an earlier computation in string topology.
ER -