Givental’s Lagrangian Cone and S-equivariant Gromov–witten Theory
نویسنده
چکیده
In the approach to Gromov–Witten theory developed by Givental, genus-zero Gromov–Witten invariants of a manifold X are encoded by a Lagrangian cone in a certain infinite-dimensional symplectic vector space. We give a construction of this cone, in the spirit of S-equivariant Floer theory, in terms of S-equivariant Gromov–Witten theory of X × P. This gives a conceptual understanding of the “dilaton shift”: a change-of-variables which plays an essential role in Givental’s theory.
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