Givental's Lagrangian Cone and S^1-Equivariant Gromov-Witten Theory

Simple item page
dc.creatorCoates, Tom
dc.date2006-07-31
dc.date2007-10-25
dc.date.accessioned2026-07-07T08:38:30Z
dc.date.available2026-07-07T08:38:30Z
dc.descriptionIn 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^1-equivariant Floer theory, in terms of S^1-equivariant Gromov-Witten theory of the product X \times P^1. This gives a conceptual understanding of the "dilaton shift": a change-of-variables which plays an essential role in Givental's theory.
dc.description17 pages, LaTeX, uses Paul Taylor's diagrams package diagrams.sty Version 2: exposition streamlined, references added. Final version; to appear in Mathematical Research Letters
dc.identifierhttps://arxiv.org/abs/math/0607808
dc.identifierhttp://arxiv.org/abs/math/0607808
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140752
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject14N35 (Primary); 53D45, 57R58 (Secondary)
dc.titleGivental's Lagrangian Cone and S^1-Equivariant Gromov-Witten Theory
dc.typetext

Files

Collections

arXiv