Extending the Picard-Fuchs system of local mirror symmetry

Brian Forbes, Masao Jinzenji

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We propose an extended set of differential operators for local mirror symmetry. If X is Calabi-Yau such that dim H4 (X,Z) =0, then we show that our operators fully describe mirror symmetry. In the process, a conjecture for intersection theory for such X is uncovered. We also find operators on several examples of type X= KS through similar techniques. In addition, open string Picard-Fuchs systems are considered.

Original languageEnglish
Article number082302
JournalJournal of Mathematical Physics
Volume46
Issue number8
DOIs
Publication statusPublished - Aug 2005
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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