2012
Galatius
Søren
Søren Galatius
1976
Eliashberg
Y.
Y. Eliashberg
1946
De Matos Geraldes Diogo
Luís Miguel Pereira
Luís Miguel Pereira De Matos Geraldes Diogo
Stanford University. Department of Mathematics.
Ionel
Eleny
Eleny Ionel
2016-05-10
Filtered floer and symplectic homology via Gromov-Witten theory
809038246
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.
2012
809038246
en
Thesis (Ph. D.)--Stanford University, 2012.