Floer Theory and Gromov-Witten theory
Event details
| Date | 29.04.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | Oliver Fabert (Freiburg) |
| Location |
MA A3 30
|
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: When the symplectomorphism is the time-one map of a
Hamiltonian flow, the resulting Floer cohomology with its
pair-of-pants product is isomorphic to the small quantum
cohomology ring of the symplectic manifold. While the small
quantum product is given by the Gromov-Witten 3-point
invariants, encoding the information of all rational
Gromov-Witten invariants leads to the geometrical concept
of Frobenius manifolds. After introducing new structures in
Floer theory, I will show how the PSS isomorphism can be
extended to cover the full rational Gromov-Witten theory.
Furthermore I plan to sketch how they can be used to
formulate a classical mirror symmetry conjecture for open
Calabi-Yau manifolds.
Abstract: When the symplectomorphism is the time-one map of a
Hamiltonian flow, the resulting Floer cohomology with its
pair-of-pants product is isomorphic to the small quantum
cohomology ring of the symplectic manifold. While the small
quantum product is given by the Gromov-Witten 3-point
invariants, encoding the information of all rational
Gromov-Witten invariants leads to the geometrical concept
of Frobenius manifolds. After introducing new structures in
Floer theory, I will show how the PSS isomorphism can be
extended to cover the full rational Gromov-Witten theory.
Furthermore I plan to sketch how they can be used to
formulate a classical mirror symmetry conjecture for open
Calabi-Yau manifolds.
Links
Practical information
- Expert
- Free
Organizer
- Sonja Hohloch, Martins Bruveris