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Orientability of moduli spaces and open Gromov-Witten invariants

作者: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
出版商: 2011.
論文: Ph. D. Stanford University 2011
版本/格式:   碩士/博士論文 : 文獻 : 碩士論文/博士論文 : 電子書   電腦檔案 : 英語
提要:
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  再讀一些...
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資料類型: 文獻, 碩士論文/博士論文, 網際網路資源
文件類型 網際網路資源, 電腦檔案
所有的作者/貢獻者: Penka Vasileva Georgieva; Eleny Ionel; Y Eliashberg; Jun Li; Stanford University. Department of Mathematics.
OCLC系統控制編碼: 747192931
註釋: Submitted to the Department of Mathematics.
描述: 1 online resource
責任: Penka Vasileva Georgieva.

摘要:

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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