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Kresch, A; Tamvakis, H (2003). Quantum cohomology of the Lagrangian Grassmannian. Journal of Algebraic Geometry, 12(4):777-810.

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Abstract

Let V be a symplectic vector space and LG be the Lagrangian Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantum cohomology ring QH∗ (LG) and show that its multiplicative structure is determined by the ring of Q-polynomials. We formulate a 'quantum Schubert calculus' which includes quantum Pieri and Giambelli formulas, as well as algorithms for computing the structure constants appearing in the quantum product of Schubert classes.

Citations

27 citations in Web of Science®
23 citations in Scopus®
Google Scholar™

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Language:English
Date:2003
Deposited On:29 Nov 2010 16:26
Last Modified:27 Nov 2013 19:20
Publisher:University Press, Inc.
ISSN:1056-3911
Official URL:http://www.ams.org/journals/jag/2003-12-04/S1056-3911-03-00347-3
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1051.53070
http://www.ams.org/mathscinet-getitem?mr=1993764

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