The Closed Topological Vertex via the Cremona Transform

Authors

Jim Bryan, University of British Columbia
Dagan Karp, Harvey Mudd CollegeFollow

Document Type

Article - postprint

Department

Mathematics (HMC)

Publication Date

2005

Abstract

We compute the local Gromov-Witten invariants of the "closed vertex", that is, a configuration of three rational curves meeting in a single triple point in a Calabi-Yau threefold. The method is to express the local invariants of the vertex in terms of ordinary Gromov-Witten invariants of a certain blowup of CP^3 and then to compute those invariants via the geometry of the Cremona transformation.

Rights Information

© 2005 Journal of Algebraic Geometry

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Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

J. Bryan, D. Karp, The closed topological vertex via the Cremona transform, Journal of Algebraic Geometry, 14, 529–542 (2005). arXiv version math.AG/0311208