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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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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.


28 citations in Web of Science®
28 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Deposited On:29 Nov 2010 16:26
Last Modified:05 Apr 2016 13:25
Publisher:University Press, Inc.
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

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