Advances in Theoretical and Mathematical Physics

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

Shinobu Hosono and Yukiko Konishi

Source: Adv. Theor. Math. Phys. Volume 13, Number 2 (2009), 463-495.

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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.atmp/1234881639
Mathematical Reviews number (MathSciNet): MR2481271
Zentralblatt MATH identifier: 05572603


2009 © International Press of Boston

Advances in Theoretical and Mathematical Physics

Advances in Theoretical and Mathematical Physics