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MiS Preprint Repository

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MiS Preprint
6/2010

String, dilaton and divisor equation in symplectic field theory

Oliver Fabert and Paolo Rossi

Abstract

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:
Feb 10, 2010
Published:
Feb 12, 2010
MSC Codes:
53D42, 53D40, 53D45
Keywords:
symplectic field theory, Floer homology, Gromov-Witten theory

Related publications

inJournal
2011 Repository Open Access
Oliver Fabert and Paolo Rossi

String, dilaton, and divisor equation in symplectic field theory

In: International mathematics research notices, 2011 (2011) 19, pp. 4384-4404