2016年
Quantum Serre Theorem as a Duality Between Quantum D-Modules
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
- ,
- ,
- 巻
- 2016
- 号
- 9
- 開始ページ
- 2828
- 終了ページ
- 2888
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1093/imrn/rnv215
- 出版者・発行元
- OXFORD UNIV PRESS
We give an interpretation of quantum Serre theorem of Coates and Givental as a duality of twisted quantum D-modules. This interpretation admits a non-equivariant limit, and we obtain a precise relationship among (1) the quantum D-module of X twisted by a convex vector bundle E and the Euler class, (2) the quantum D-module of the total space of the dual bundle E-v -> X, and (3) the quantum D-module of a submanifold Z subset of X cut out by a regular section of E. When E is the anticanonical line bundle K-X(-1), we identify these twisted quantum D-modules with second structure connections with different parameters, which arise as Fourier-Laplace transforms of the quantum D-module of X. In this case, we show that the duality pairing is identified with Dubrovin's second metric (intersection form).
- リンク情報
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- DOI
- https://doi.org/10.1093/imrn/rnv215
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000379774900008&DestApp=WOS_CPL
- URL
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84977143050&origin=inward
- ID情報
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- DOI : 10.1093/imrn/rnv215
- ISSN : 1073-7928
- eISSN : 1687-0247
- SCOPUS ID : 84977143050
- Web of Science ID : WOS:000379774900008