On the quantum cohomology of adjoint varieties
2011; Wiley; Volume: 103; Issue: 2 Linguagem: Inglês
10.1112/plms/pdq052
ISSN1460-244X
AutoresPierre–Emmanuel Chaput, Nicolas Perrin,
Tópico(s)Nonlinear Waves and Solitons
ResumoProceedings of the London Mathematical SocietyVolume 103, Issue 2 p. 294-330 Articles On the quantum cohomology of adjoint varieties P. E. Chaput, P. E. Chaput pierre-emmanuel.chaput@math.univ-nantes.fr Laboratoire de Mathématiques Jean Leray, UMR 6629 du CNRS, UFR Sciences et Techniques, 2 rue de la Houssinière, 44322 Nantes cedex 03, BP 92208 France Hausdorff Center for Mathematics, Universität Bonn, Villa Maria, Endenicher Allee 62, Bonn, 53115 GermanySearch for more papers by this authorN. Perrin, Corresponding Author N. Perrin nicolas.perrin@hcm.uni-bonn.de Hausdorff Center for Mathematics, Universität Bonn, Villa Maria, Endenicher Allee 62, Bonn, 53115 Germany Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, Case 247, 4 place Jussieu, Paris cedex 05, 75252 Francenicolas.perrin@hcm.uni-bonn.deSearch for more papers by this author P. E. Chaput, P. E. Chaput pierre-emmanuel.chaput@math.univ-nantes.fr Laboratoire de Mathématiques Jean Leray, UMR 6629 du CNRS, UFR Sciences et Techniques, 2 rue de la Houssinière, 44322 Nantes cedex 03, BP 92208 France Hausdorff Center for Mathematics, Universität Bonn, Villa Maria, Endenicher Allee 62, Bonn, 53115 GermanySearch for more papers by this authorN. Perrin, Corresponding Author N. Perrin nicolas.perrin@hcm.uni-bonn.de Hausdorff Center for Mathematics, Universität Bonn, Villa Maria, Endenicher Allee 62, Bonn, 53115 Germany Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, Case 247, 4 place Jussieu, Paris cedex 05, 75252 Francenicolas.perrin@hcm.uni-bonn.deSearch for more papers by this author First published: 11 February 2011 https://doi.org/10.1112/plms/pdq052Citations: 18 2000 Mathematics Subject Classification 14M15, 14N35. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract We study the quantum cohomology of adjoint and coadjoint homogeneous spaces. The product of any two Schubert classes does not involve powers of the quantum parameter greater than 2. With the help of the quantum to classical principle, we give presentations of the quantum cohomology algebras. These algebras are semi-simple for adjoint non-coadjoint varieties and some properties of the induced strange duality are shown. Citing Literature Volume103, Issue2August 2011Pages 294-330 RelatedInformation
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