Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian

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dc.creatorRuffo, James
dc.date2008-06-04
dc.date.accessioned2026-07-07T09:42:42Z
dc.date.available2026-07-07T09:42:42Z
dc.descriptionThe Drinfel'd Lagrangian Grassmannian compactifies the space of algebraic maps of fixed degree from the projective line into the Lagrangian Grassmannian. It has a natural projective embedding arising from the canonical embedding of the Lagrangian Grassmannian. We show that the defining ideal of any Schubert subvariety of the Drinfel'd Lagrangian Grassmannian is generated by polynomials which give a straightening law on an ordered set. Consequentially, any such subvariety is Cohen-Macaulay and Koszul. The Hilbert function is computed from the straightening law, leading to a new derivation of certain intersection numbers in the quantum cohomology ring of the Lagrangian Grassmannian.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0806.0834
dc.identifierhttp://arxiv.org/abs/0806.0834
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162279
dc.subjectAlgebraic Geometry
dc.subject13P10; 13F50; 14N15; 14N35
dc.titleQuasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian
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