MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
String, dilaton and divisor equation in symplectic field theory
Oliver Fabert and Paolo RossiAbstract
Infinite dimensional Hamiltonian systems appear naturally in the rich algebraic structure of symplectic field theory. Carefully defining a generalization of gravitational descendants and adding them to the picture, one can produce an infinite number of symmetries of such systems. As in Gromov-Witten theory, the study of the topological meaning of gravitational descendants yields new differential equations for the SFT Hamiltonian, where the key point is to understand the dependence of the algebraic constructions on choices of auxiliary data like differential forms representing cohomology classes on the target and coherent collections of sections used to define gravitational descendants.
- Received:
- 10.02.10
- Published:
- 12.02.10
- MSC Codes:
- 53D42, 53D40, 53D45
- Keywords:
- symplectic field theory, Floer homology, Gromov-Witten theory