Orientability of Moduli Spaces and Open Gromov-Witten Invariants

Download or read book Orientability of Moduli Spaces and Open Gromov-Witten Invariants written by Penka Vasileva Georgieva and published by Stanford University. This book was released on 2011 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: We show that the local system of orientations on the moduli space of J-holomorphic maps from a bordered Riemann surface is isomorphic to the pull-back of a local system defined on the product of the Lagrangian and its free loop space. The latter is defined using only the first and second Stiefel-Whitney classes of the Lagrangian. In the presence of an anti-symplectic involution, whose fixed locus is a relatively spin Lagrangian, we define open Gromov-Witten type invariants in genus zero.