Flop Invariance of Refined Topological Vertex and Link Homologies

dc.creatorTaki, Masato
dc.date2008-05-03
dc.date.accessioned2026-07-07T09:36:52Z
dc.date.available2026-07-07T09:36:52Z
dc.descriptionIt has been proposed recently that the topological A-model string theory on local toric Calabi-Yau manifolds has a two parameter extension. Amplitudes of the two parameter topological strings can be computed using a diagrammatic method called the refined topological vertex. In this paper we study properties of the refined amplitudes under the flop transition of toric Calabi-Yau three-folds. We also discuss that the slicing invariance and the flop transition imply a simple formula for the homological sl(N) invariants of the Hopf link. The new expression for the invariants gives a simple refinement of the Hopf link invariant of Chern-Simons theory.
dc.description15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0805.0336
dc.identifierhttp://arxiv.org/abs/0805.0336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160269
dc.subjectHigh Energy Physics - Theory
dc.titleFlop Invariance of Refined Topological Vertex and Link Homologies
dc.typetext

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