Orientability of moduli spaces and open Gromov-Witten invariants

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Abstract/Contents

Abstract
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.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2011
Issuance monographic
Language English

Creators/Contributors

Associated with Georgieva, Penka Vasileva
Associated with Stanford University, Department of Mathematics
Primary advisor Ionel, Eleny
Thesis advisor Ionel, Eleny
Thesis advisor Eliashberg, Y, 1946-
Thesis advisor Li, Jun, (Mathematician)
Advisor Eliashberg, Y, 1946-
Advisor Li, Jun, (Mathematician)

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Penka Vasileva Georgieva.
Note Submitted to the Department of Mathematics.
Thesis Ph.D. Stanford University 2011
Location electronic resource

Access conditions

Copyright
© 2011 by Penka Vasileva Georgieva
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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