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New Calabi-Yau manifolds with small Hodge numbers. (English) Zbl 1194.14062
The authors study certain (disconnected) webs that are formed by conifolds. They examine these webs for the tip of the distribution of Calabi-Yau manifolds where the Hodge numbers \((h^{11},h^{21})\) are small. Using conifold transitions, they generate new manifolds from the quotient manifolds in the tip of the distribution. The authors also study the relations of some of these new manifolds to Gross-Popescu manifolds that has Euler number zero.

MSC:
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
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