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