On the noncommutative Donaldson-Thomas invariants arising from brane tilings

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dc.creatorMozgovoy, Sergey
dc.creatorReineke, Markus
dc.date2008-09-01
dc.date2008-12-28
dc.date.accessioned2026-07-07T12:22:09Z
dc.date.available2026-07-07T12:22:09Z
dc.descriptionGiven a brane tiling, that is a bipartite graph on a torus, we can associate with it a quiver potential and a quiver potential algebra. Under certain consistency conditions on a brane tiling, we prove a formula for the Donaldson-Thomas type invariants of the moduli space of framed cyclic modules over the corresponding quiver potential algebra. We relate this formula with the counting of perfect matchings of the periodic plane tiling corresponding to the brane tiling. We prove that the same consistency conditions imply that the quiver potential algebra is a 3-Calabi-Yau algebra. We also formulate a rationality conjecture for the generating functions of the Donaldson-Thomas type invariants.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0809.0117
dc.identifierhttp://arxiv.org/abs/0809.0117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213558
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleOn the noncommutative Donaldson-Thomas invariants arising from brane tilings
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