Geometry of cross ratio

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dc.creatorZelikin, M. I.
dc.date2007-01-18
dc.date.accessioned2026-07-07T07:41:42Z
dc.date.available2026-07-07T07:41:42Z
dc.descriptionGeneralization of the cross ratio to polarizations of linear finite and infinite-dimensional spaces (in particular to Sato Grassmannian) is given and explored. This cross ratio appears to be a cocycle of the canonical (tautalogical) bundle over the Grassmannian with coefficients in the sheaf of its endomorphisms. Operator analog of the Schwarz differential is defined. Its connections to linear Hamiltonian systems and Riccati equations are established. These constructions aim to obtain applications to KP-hierarchy.
dc.descriptionno figures
dc.identifierhttps://arxiv.org/abs/math/0701500
dc.identifierhttp://arxiv.org/abs/math/0701500
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122212
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleGeometry of cross ratio
dc.typetext

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