Orientability of Moduli Spaces and Open Gromov-Witten Invariants PDF Download

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Orientability of Moduli Spaces and Open Gromov-Witten Invariants

Orientability of Moduli Spaces and Open Gromov-Witten Invariants PDF Author: Penka Vasileva Georgieva
Publisher: Stanford University
ISBN:
Category :
Languages : en
Pages : 58

Book Description
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.