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Orientability of moduli spaces and open Gromov-Witten invariants

Autore: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
Editore: 2011.
Tesi: Ph. D. Stanford University 2011
Edizione/Formato:   Tesi/dissertazione : Document : Thesis/dissertation : eBook   Computer file : English
Sommario:
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  Per saperne di più…
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Dettagli

Tipo materiale: Document, Thesis/dissertation, Risorsa internet
Tipo documento Risorsa Internet, Computer file
Tutti gli autori / Collaboratori: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
Numero OCLC: 747192931
Note: Submitted to the Department of Mathematics.
Descrizione: 1 online resource
Responsabilità: 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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