Orientability of moduli spaces and open Gromov-Witten invariants
747192931
747192931
en
2011
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.
Eliashberg
Y.
Y. Eliashberg
1946
2011
Stanford University. Department of Mathematics.
Li
Jun
Jun Li
Ionel
Eleny
Eleny Ionel
Georgieva
Penka Vasileva
Penka Vasileva Georgieva
2016-08-04