Skip to main content
Article thumbnail
Location of Repository

Relatively Open Gromov-Witten Invariants for Symplectic Manifolds of Lower Dimensions

By Hai-Long Her

Abstract

Let (X, ω) be a compact symplectic manifold, L be a Lagrangian submanifold and V be a codimension 2 symplectic submanifold of X, we consider the pseudoholomorphic maps from a Riemann surface with boundary (Σ, ∂Σ) to the pair (X, L) satisfying Lagrangian boundary conditions and intersecting V. We study the stable moduli space of such open pseudoholomorphic maps involving the intersection data. Assume that L ∩ V = ∅ and there exists an anti-symplectic involution φ on X such that L is the fixed point set of φ and V is φ-anti-invariant. Then we define the so-called “relatively open ” invariants for the tuple (X, ω, V, φ) if L is orientable and dimX ≤ 6. If L is nonorientable, we define such invariants under the condition that dimX ≤ 4 and some additional restrictions on the number of marked points on each boundary component of the domain

Topics: Gromov-Witten invariant, open string, moduli space, relatively open invariant. Contents
Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.314.2121
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/0808.2228... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.