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Orientability of moduli spaces and open Gromov-Witten invariants Titelvorschau
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Orientability of moduli spaces and open Gromov-Witten invariants

Verfasser/in: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
Herausgeber: 2011.
Hochschulschrift: Ph. D. Stanford University 2011
Ausgabe/Format   Diplomarbeit/Dissertation : Dokument : Diplomarbeit/Dissertation : E-Book   Computerdatei : Englisch
Datenbank:WorldCat
Zusammenfassung:
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  Weiterlesen…
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Medientyp: Dokument, Diplomarbeit/Dissertation, Internetquelle
Dokumenttyp Internet-Ressource, Computerdatei
Alle Autoren: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
OCLC-Nummer: 747192931
Anmerkungen: Submitted to the Department of Mathematics.
Beschreibung: 1 online resource
Verfasserangabe: Penka Vasileva Georgieva.

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.

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