Publications [#243267] of Paul S. Aspinwall

Papers Published
  1. Aspinwall, PS; Greene, BR; Kirklin, KH; Miron, PJ, Searching for three-generation Calabi-Yau manifolds, Nuclear Physics B, vol. 294 no. C (January, 1987), pp. 193-222 [doi] .

    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.