Cluster algebras and Poisson geometry

Simple item page
dc.creatorGekhtman, M.
dc.creatorShapiro, M.
dc.creatorVainshtein, A.
dc.date2002-08-05
dc.date2003-11-25
dc.date.accessioned2026-07-07T04:50:03Z
dc.date.available2026-07-07T04:50:03Z
dc.descriptionWe introduce a Poisson variety compatible with a cluster algebra structure and a compatible toric action on this variety. We study Poisson and topological properties of the union of generic orbits of this toric action. In particular, we compute the number of connected components of the union of generic toric orbits for cluster algebras over real numbers. As a corollary we compute the number of connected components of refined open Bruhat cells in Grassmanians G(k,n) over real numbers.
dc.descriptionminor changes
dc.identifierhttps://arxiv.org/abs/math/0208033
dc.identifierhttp://arxiv.org/abs/math/0208033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64660
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subjectSymplectic Geometry
dc.titleCluster algebras and Poisson geometry
dc.typetext

Files

Collections

arXiv