New Calabi-Yau Manifolds with Small Hodge Numbers by Candelas, P, Davies, R

“…It is known that many Calabi-Yau manifolds form a connected web. The question of whether all Calabi-Yau manifolds form a single web depends on the degree of singularity that is permitted for the varieties that connect the distinct families of smooth manifolds. …”

A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers by Braun, V, Candelas, P, Davies, R

“…We present a complete intersection Calabi-Yau manifold Y that has Euler number -72 and which admits free actions by two groups of automorphisms of order 12. …”

Quantum black holes in Type-IIA String Theory by Bueno, P, Davies, R, Shahbazi, C

“…The regularity conditions of the solutions impose the topological constraint h^{1,1}>h^{2,1} on the Calabi-Yau manifold, defining a class of admissible compactifications, which we prove to be non-empty for h^{1,1}=3 by explicitly constructing the corresponding Calabi-Yau manifolds, new in the literature.…”

Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions by Davies, R

“…In many (or possibly all) cases such a singularity can be resolved to yield a distinct compact Calabi-Yau manifold. These considerations therefore provide a method for embedding an interesting class of singularities in compact Calabi-Yau varieties, and for constructing new Calabi-Yau manifolds. …”

Hyperconifold Transitions, Mirror Symmetry, and String Theory by Davies, R

“…The new hyperconifold transitions are also used to construct a small number of new Calabi-Yau manifolds, with small Hodge numbers and fundamental group Z_3 or Z_5. …”

Calabi-Yau threefolds and heterotic string compactification by Davies, R

“…We construct a large number of new examples via free group actions on complete intersection Calabi-Yau manifolds (CICY's). For special values of the parameters, these group actions develop fixed points, and we show that, on the quotient spaces, this leads to a particular class of singularities, which are quotients of the conifold. …”