Cohomology rings of toric varieties assigned to cluster quivers: the case of unioriented quivers of type A

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dc.creatorChapoton, Frederic
dc.date2005-03-04
dc.date.accessioned2026-07-07T05:17:39Z
dc.date.available2026-07-07T05:17:39Z
dc.descriptionThe theory of cluster algebras of S. Fomin and A. Zelevinsky has assigned a fan to each Dynkin diagram. Then A. Buan, R. Marsh, M. Reineke, I. Reiten and G. Todorov have generalized this construction using arbitrary quivers on Dynkin diagrams. In the special case of the unioriented quiver of type A, we describe the cohomology ring of the toric variety associated to this fan. A natural base is obtained and an explicit rule is given for the product of any two generators.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0503077
dc.identifierhttp://arxiv.org/abs/math/0503077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74385
dc.subjectQuantum Algebra
dc.subjectMSC2000 : 14M25; 14F25; 16G20 ; 17B20
dc.titleCohomology rings of toric varieties assigned to cluster quivers: the case of unioriented quivers of type A
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