Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions

Simple item page
dc.creatorSolomon, Jake P.
dc.date2006-06-18
dc.date.accessioned2026-07-07T07:17:25Z
dc.date.available2026-07-07T07:17:25Z
dc.descriptionWe define a new family of open Gromov-Witten type invariants based on intersection theory on the moduli space of pseudoholomorphic curves of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian submanifold arises as the fixed points of an anti-symplectic involution and has dimension 2 or 3. In the strongly semi-positive genus 0 case, the new invariants coincide with Welschinger's invariant counts of real pseudoholomorphic curves. Furthermore, we calculate the new invariant for the real quintic threefold in genus 0 and degree 1 to be 30.
dc.description79 pages
dc.identifierhttps://arxiv.org/abs/math/0606429
dc.identifierhttp://arxiv.org/abs/math/0606429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113932
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subject53D45; 14N35; 58Z05
dc.titleIntersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
dc.typetext

Files

Collections

arXiv