Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau threefolds

Details Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau threefolds Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau threefolds

2007-04-23

arxiv.org/abs/0704.2928v3

Mathematics

Algebraic Geometry

24 pages; minor corrections and references added (ver2); references added (ver3)

Scientific paper

We solve Bershadsky-Cecotti-Ooguri-Vafa (BCOV) holomorphic anomaly equation
to determine the higher genus Gromov-Witten invariants ($g \leq 5$) of the
derived equivalent Calabi-Yau threefolds, which are of the appropriate
codimensions in the Grassmannian Gr(2,7) and the Pfaffian Pf(7).

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