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

Shinobu Hosono; Yukiko Konishi

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

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arxiv 0704.2928 v3 pith:5QWX5O4Q submitted 2007-04-23 math.AG hep-th

Shinobu Hosono , Yukiko Konishi This is my paper · ORCID

classification math.AGhep-th

keywords calabi-yaugenusgrassmanniangromov-wittenhigherinvariantspfaffianthreefolds

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abstract

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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