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math.SG2000
Introduction to Symplectic Field Theory
Yakov Eliashberg, Alexander Givental, Helmut Hofer
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagra…
math.AG2000
Semisimple Frobenius structures at higher genus
Alexander Givental
We describe genus g>1 potentials of semisimple Frobenius structures. Our formula can be considered as a definition in the axiomatic context of Frobenius manifolds. In Gromov-Witten…
math.AG2000
On the WDVV-equation in quantum K-theory
Alexander B. Givental
A K-theoretic counterpart of quantum cohomology theory is discussed.