Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 2

Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau 3-folds

Pages: 463 – 495

DOI: http://dx.doi.org/10.4310/ATMP.2009.v13.n2.a3

Authors

Shinobu Hosono

Yukiko Konishi

Abstract

We solve Bershadsky-Cecotti-Ooguri-Vafa (BCOV) holomorphic anomaly equation to determine the higher genus Gromov-Witten invariants ($g\geq 5$) of the derived equivalent Calabi-Yau 3-folds, which are of the appropriate codimensions in the Grassmannian Gr(2, 7) and the Pfaffian Pf(7).Let $q\geq n-p$

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