2015年
Reconstruction and Convergence in Quantum K-Theory via Difference Equations
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
- ,
- ,
- 巻
- 2015
- 号
- 11
- 開始ページ
- 2887
- 終了ページ
- 2937
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1093/imrn/rnu026
- 出版者・発行元
- OXFORD UNIV PRESS
We give a new reconstruction method of big quantum K-ring based on the q-difference module structure in quantum K-theory [12, 13]. The q-difference structure yields commuting linear operators A(i, com) on the K-group as many as the Picard number of the target manifold. The genus-zero quantum K-theory can be reconstructed from the q-difference structure at the origin t= 0 if the K-group is generated by a single element under the actions of A(i, com). This method allows us to prove the convergence of the big quantum K-rings of certain manifolds, including the projective spaces and the complete flag manifold Fl(3).
- リンク情報
-
- DOI
- https://doi.org/10.1093/imrn/rnu026
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000356707200001&DestApp=WOS_CPL
- URL
- http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84941884038&origin=inward
- ID情報
-
- DOI : 10.1093/imrn/rnu026
- ISSN : 1073-7928
- eISSN : 1687-0247
- SCOPUS ID : 84941884038
- Web of Science ID : WOS:000356707200001