New Calabi–Yau manifolds from genetic algorithms by Per Berglund, Yang-Hui He, Elli Heyes, Edward Hirst, Vishnu Jejjala, Andre Lukas

“…Calabi–Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. …”
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Special Lagrangian submanifolds of log Calabi–Yau manifolds by Collins, Tristan C, Jacob, Adam, Lin, Yu-Shen

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Calabi-Yau manifolds, discrete symmetries and string theory by Mishra, C

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. …”

New Calabi–Yau manifolds from genetic algorithms by Berglund, P, He, Y-H, Heyes, E, Hirst, E, Jejjala, V, Lukas, A

“…Calabi–Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. …”

Calabi-Yau Manifolds Over Finite Fields, I by Candelas, P, Ossa, X, Rodriguez-Villegas, F

“…We study Calabi-Yau manifolds defined over finite fields. These manifolds have parameters, which now also take values in the field and we compute the number of rational points of the manifold as a function of the parameters. …”

Discrete symmetries of complete intersection Calabi-Yau manifolds by Lukas, A, Mishra, C

“…In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi- Yau manifolds and their quotients by freely-acting symmetries. …”

Finite distance between distinct Calabi-Yau manifolds. by Candelas, P, Green, P, Hübsch, T

“…Moduli spaces for a wide class of Calabi-Yau manifolds with different numerical invariants (and thus topologically distinct) can be assembled into a connected web in which all distances are finite. …”

Calabi-Yau Manifolds Over Finite Fields, II by Candelas, P, Ossa, X, Rodriguez-Villegas, F

Max Kreuzer's Contributions to the Study of Calabi-Yau Manifolds by Candelas, P

“…This is a somewhat personal account of the contributions of Max Kreuzer to the study of Calabi-Yau manifolds and has been prepared as a contribution to the Memorial Volume: Strings, Gauge Fields, and the Geometry Behind - The Legacy of Maximilian Kreuzer, to be published by World Scientific.…”

A new construction of Calabi–Yau manifolds: Generalized CICYs by Lara B. Anderson, Fabio Apruzzi, Xin Gao, James Gray, Seung-Joo Lee

“…We present a generalization of the complete intersection in products of projective space (CICY) construction of Calabi–Yau manifolds. CICY three-folds and four-folds have been studied extensively in the physics literature. …”
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Elliptically fibered Calabi–Yau manifolds and the ring of Jacobi forms by Min-xin Huang, Sheldon Katz, Albrecht Klemm

“…We give evidence that the all genus amplitudes of topological string theory on compact elliptically fibered Calabi–Yau manifolds can be written in terms of meromorphic Jacobi forms whose weight grows linearly and whose index grows quadratically with the base degree. …”
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Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds by Blesneag, S, Buchbinder, E, Lukas, A

“…We develop methods to compute holomorphic Yukawa couplings for heterotic compactifications on complete intersection Calabi-Yau manifolds, generalising results of an earlier paper for Calabi-Yau hypersurfaces. …”

Heterotic bundles on Calabi-Yau manifolds with small Picard number by He, Y, Kreuzer, M, Lee, S, Lukas, A

Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold by Candelas, P, Derrick, E, Parkes, L

“…We describe the mirror of the Z orbifold as a representation of a class of generalized Calabi-Yau manifolds that can be realized as manifolds of dimension five and seven. …”

A new construction of Calabi–Yau manifolds: Generalized CICYs by Anderson, L, Apruzzi, F, Gao, X, Gray, J, Lee, S

“…We present a generalization of the complete intersection in products of projective space (CICY) construction of Calabi–Yau manifolds. CICY three-folds and four-folds have been studied extensively in the physics literature. …”

Modular Calabi-Yau manifolds, attractor points, and flux vacua by Kuusela, P

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Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds by Evgeny Buchbinder, Andre Lukas, Burt Ovrut, Fabian Ruehle

“…A result by Beasley and Witten shows that these instanton contributions cancel among curves within a given homology class for Calabi-Yau manifolds that can be described as hypersurfaces or complete intersections in projective or toric ambient spaces. …”
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Conformal invariance of (0, 2) sigma models on Calabi-Yau manifolds by Ian T. Jardine, Callum Quigley

“…Abstract Long ago, Nemeschansky and Sen demonstrated that the Ricci-flat metric on a Calabi-Yau manifold could be corrected, order by order in perturbation theory, to produce a conformally invariant (2, 2) nonlinear sigma model. …”
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Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds by Robin Terrisse, Dimitrios Tsimpis

“…The theory admits formal solutions with nonvanishing condensates, of the form S 1,3 × M 6, where M 6 is a six-dimensional nearly Kähler or Calabi-Yau manifold, and S 1,3 can be de Sitter, Minkowski or anti-de Sitter four-dimensional space.…”
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