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Orientability of moduli spaces and open Gromov-Witten invariants

Auteur: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
Uitgever: 2011.
Proefschrift: Ph. D. Stanford University 2011
Editie/Formaat:   Scriptie/Proefschrift : Document : Scriptie/Dissertatie : e-Boek   Computerbestand : Engels
Database:WorldCat
Samenvatting:
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  Meer lezen...
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Details

Genre: Document, Scriptie/Dissertatie, Internetbron
Soort document: Internetbron, Computerbestand
Alle auteurs / medewerkers: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
OCLC-nummer: 747192931
Opmerkingen: Submitted to the Department of Mathematics.
Beschrijving: 1 online resource
Verantwoordelijkheid: Penka Vasileva Georgieva.

Fragment:

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.

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Primary Entity

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