Crossingless matchings and the cohomology of (n,n) Springer varieties

dc.creatorKhovanov, Mikhail
dc.date2002-02-12
dc.date.accessioned2026-07-07T06:26:12Z
dc.date.available2026-07-07T06:26:12Z
dc.descriptionThe sequence of rings $H^n, n\ge 0,$ introduced in math.QA/0103190, controls categorification of the quantum sl(2) invariant of tangles. We prove that the center of $H^n$ is isomorphic to the cohomology ring of the (n,n) Springer variety and show that the braid group action in the derived category of $H^n$-modules descends to the Springer action of the symmetric group.
dc.description20 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0202110
dc.identifierhttp://arxiv.org/abs/math/0202110
dc.identifierCommunications in Contemporary Math. 6 (2004) no.2, 561--577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97042
dc.subjectQuantum Algebra
dc.subject16S99
dc.titleCrossingless matchings and the cohomology of (n,n) Springer varieties
dc.typetext

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