Localization and gluing of topological amplitudes

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Abstract

We develop a gluing algorithm for Gromov-Witten invariants of toric Calabi-Yau threefolds based on localization and gluing graphs. The main building block of this algorithm is a generating function of cubic Hodge integrals of special form. We conjecture a precise relation between this generating function and the topological vertex at fractional framing.

Original languageEnglish (US)
Pages (from-to)119-149
Number of pages31
JournalCommunications In Mathematical Physics
Volume257
Issue number1
DOIs
StatePublished - May 1 2005

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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