Floer Homology with its Ring Structure in Relation to Free Loop
Space Topology and Symplectic Invariants
Antragsteller: Matthias Schwarz
Finanzierung: Deutsche
Forschungsgemeinschaft (DFG)
Programm: Schwerpunktprogramm Globale Differentialgeometrie
Laufzeit: 2 Jahre
Mitarbeiter: Felix Schlenk und N.N.
Zusammenfassung:
The target of this project is Floer homology for the free loop space of a symplectic manifold.
One of the main issues is to extend the understanding of Floer
homology together with its pair-of-pants structure beyond the
range of closed symplectic manifolds. For example a first step
is the ring isomorphism with the Free Loop Space homology and
its Loop Product in the case of the cotangent bundle. Further
aims are the $S^1$-equivariant theory and the relation to
String homology, as well as the connection with contact
homology.