Pole Structure of Topological String Free Energy

2004/11/16 by Yukiko Konishi, Konishi, Yukiko · 1 citation
Mathematics · #05E05 #14N35 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:05E05 #msc:14N35

paper · pdf · doi:10.48550/arxiv.math/0411357

37 pages; v2: materials reorganized and references added, 46 pages; v3:title changed, to appear in Publ. Res. Inst. Math. Sci. Kyoto

arxiv created 2005/04/18 · arxiv updated 2009/12/01

Abstract

We show that the free energy of the topological string admits a certain pole structure by using the operator formalism. Combined with the results of Peng that proved the integrality, this gives a combinatoric proof of the Gopakumar-Vafa conjecture.

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