# 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:10.1016/j.jalgebra.2012.11.010) (KAR id:51111)

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## 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 10.1016/j.jalgebra.2012.11.010 Quantum cohomology; Quasi-homogeneous spaces; Grassmannians; Pieri and Giambelli formulas; Exceptional collections in derived categories Q Science > QA Mathematics (inc Computing science) > QA564 Algebraic Geometry Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Clelia Pech 21 Oct 2015 10:15 UTC 29 May 2019 16:10 UTC https://kar.kent.ac.uk/id/eprint/51111 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-6142-6679