Searching for three-generation Calabi-Yau manifolds


Journal Article

All possible Calabi-Yau manifolds realisable as complete intersections and quotients of complete intersections by projectively-inherited symmetries are considered. We develop a stringent set of criteria with which to exhaustively search this huge class for three-generation manifolds. We find only one manifold meeting our conditions - namely the first manifold discovered by Yau. In addition it is shown that all known three-generation Calabi-Yau manifolds are either diffeomorphic to this one example or ill-defined. © 1987.

Full Text

Duke Authors

Cited Authors

  • Aspinwall, PS; Greene, BR; Kirklin, KH; Miron, PJ

Published Date

  • January 1, 1987

Published In

Volume / Issue

  • 294 / C

Start / End Page

  • 193 - 222

International Standard Serial Number (ISSN)

  • 0550-3213

Digital Object Identifier (DOI)

  • 10.1016/0550-3213(87)90579-7

Citation Source

  • Scopus