2006/06/30 by Piotr Sułkowski, Piotr Sulkowski · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #hep-th #math.AG
paper · pdf · doi:10.1088/1126-6708/2006/12/030
published as JHEP0612:030,2006 · 26 pages, 7 figures; references added, classical part of flop analysis corrected and expanded
arxiv created 2006/10/07 · openalex publication_date 2006/12/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
The topological string partition function for the neighbourhood of three spheres meeting at one point in a Calabi-Yau threefold, the so-called 'closed topological vertex', is shown to be reproduced by a simple Calabi-Yau crystal model which counts plane partitions inside a cube of finite size. The model is derived from the topological vertex formalism. This derivation can be understood as 'moving off the strip' in the terminology of hep-th/0410174, and offers a possibility to simplify topological vertex techniques to a broader class of Calabi-Yau geometries. To support this claim a flop transition of the closed topological vertex is considered and the partition function of the resulting geometry is computed in agreement with general expectations.