2002/06/18 by Mina Aganagic, Marcos Mariño, Marcos Marino +1 · 118 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Degree (music) #Dual polyhedron #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Knot (papermaking) #Knot theory #String field theory #Topological entropy in physics #Topological string theory #Topology (electrical circuits) #hep-th #math.AG #math.GT
paper · pdf · doi:10.1007/s00220-004-1067-x
published in Communications in Mathematical Physics 247(2), 467-512 (Springer Science+Business Media) · 62 pages, 15 figures, harvmac
arxiv created 2002/06/18 · openalex publication_date 2004/04/08 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We demonstrate the equivalence of all loop closed topological string amplitudes on toric local Calabi-Yau threefolds with computations of certain knot invariants for Chern-Simons theory. We use this equivalence to compute the topological string amplitudes in certain cases to very high degree and to all genera. In particular we explicitly compute the topological string amplitudes for P2 up to degree 12 and P1 x P1 up to total degree 10 to all genera. This also leads to certain novel large N dualities in the context of ordinary superstrings, involving duals of type II superstrings on local Calabi-Yau three-folds without any fluxes.