Quantum cohomology of the odd symplectic Grassmannian of lines

Pech, Clelia (2013) Quantum cohomology of the odd symplectic Grassmannian of lines. Journal of Algebra, 375 . pp. 188-215. ISSN 0021-8693. (doi:https://doi.org/10.1016/j.jalgebra.2012.11.010) (Full text available)

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http://dx.doi.org/10.1016/j.jalgebra.2012.11.010

Abstract

Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of lines. Although these varieties are not homogeneous, we obtain Pieri and Giambelli formulas that are very similar to the symplectic case. We notice that their quantum cohomology is semi-simple, which enables us to check Dubrovin’s conjecture for this case.

Item Type: Article
Uncontrolled keywords: Quantum cohomology; Quasi-homogeneous spaces; Grassmannians; Pieri and Giambelli formulas; Exceptional collections in derived categories
Subjects: Q Science > QA Mathematics (inc Computing science) > QA564 Algebraic Geometry
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Clelia Pech
Date Deposited: 21 Oct 2015 10:15 UTC
Last Modified: 17 Jan 2017 22:15 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51111 (The current URI for this page, for reference purposes)
Pech, Clelia: https://orcid.org/0000-0001-6142-6679
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