Local mirror symmetry: Calculations and interpretations

T. M. Chiang*, A. Klemm, S. T. Yau, E. Zaslow

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

122 Scopus citations


We describe local mirror symmetry from a mathematical point of view and make several A-model calculations using the mirror principle (localization). Our results agree with B-model computations from solutions of Picard-Fuchs differential equations constructed form the local geometry near a Fano surface within a Calabi-Yau manifold. We interpret the Gromov-Witten-type numbers from an enumerative point of view. We also describe the geometry of singular surfaces and show how the local invariants of singular surfaces agree with the smooth cases when they occur as complete intersections.

Original languageEnglish (US)
Pages (from-to)1-60
Number of pages60
JournalAdvances in Theoretical and Mathematical Physics
Issue number3
StatePublished - May 1999

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)


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