Schubert calculus on the grassmannian of hermitian lagrangian spaces

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dc.creatorNicolaescu, Liviu I.
dc.date2007-08-20
dc.date2007-09-20
dc.date.accessioned2026-07-07T08:30:44Z
dc.date.available2026-07-07T08:30:44Z
dc.descriptionThe grassmannian of hermitian lagrangian spaces in $\mathbb{C}^n\oplus \mathbb{C}^n$ is a natural compactification of the space of hermitian $n\times n$ matrices. We describe a Schubert-like, Whitney regular stratification on this space which has a Morse theoretic origin. We prove that these strata define closed subanalytic currents à la R. Hardt, generating the integral homology of this space, we investigate their intersection theoretic properties, and we prove certain odd (in K-theoretic sense) Thom-Porteous type theorems.
dc.description52 pages, 1 figure. Fixed typos, added new references
dc.identifierhttps://arxiv.org/abs/0708.2669
dc.identifierhttp://arxiv.org/abs/0708.2669
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138314
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subject32C30,49Q15, 57R19, 57T10, 58A35, 58E05
dc.titleSchubert calculus on the grassmannian of hermitian lagrangian spaces
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