Generalized Calabi-Yau Manifolds by Hitchin, N

Gauge theory on Calabi-Yau manifolds by Thomas, R, Richard P. W. Thomas

“…We study complex analogues on Calabi-Yau manifolds of gauge theories on low dimensional real manifolds. …”

MODULI SPACE OF CALABI-YAU MANIFOLDS by Candelas, P, Delaossa, X

COMPLETE INTERSECTION CALABI-YAU MANIFOLDS by Candelas, P, Dale, A, Lutken, C, Schimmrigk, R

Calabi-Yau manifolds and related geometries by Gross, M, Huybrechts, D, Joyce, D

MODULI SPACE OF CALABI-YAU MANIFOLDS by Candelas, P, Delaossa, X

“…We present an accessible account of the local geometry of the parameter space of Calabi-Yau manifolds. It is shown that the parameter space decomposes, at least locally, into a product with the space of parameters of the complex structure as one factor and a complex extension of the parameter space of the Kähler class as the other. …”

Mirror symmetry and elliptic Calabi-Yau manifolds by Huang, Yu-Chien, Taylor IV, Washington

“…The factorization structure identified here can also apply for CalabiYau manifolds of higher dimension.…”
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ON THE NUMBER OF COMPLETE INTERSECTION CALABI-YAU MANIFOLDS by He, A, Candelas, P

On the Connectedness of the Moduli Space of Calabi--Yau Manifolds by Avram, A, Candelas, P, Jancic, D, Mandelberg, M

“…We show that the moduli space of all Calabi-Yau manifolds that can be realized as hypersurfaces described by a transverse polynomial in a four dimensional weighted projective space, is connected. …”

Calabi-Yau manifolds and SU(3) structure by Larfors, M, Lukas, A, Ruehle, F

“…Among the wide range of possible SU(3) structures we find Strominger-Hull systems, suitable for heterotic or type II string compactifications, on all complete intersection Calabi-Yau manifolds. These SU(3) structures of Strominger-Hull type have a non-vanishing and non-closed three-form flux which needs to be supported by source terms in the associated Bianchi identity. …”

CALABI-YAU MANIFOLDS IN WEIGHTED P4 by Candelas, P, Lynker, M, Schimmrigk, R

“…It has recently been recognized that the relation between exactly solvable conformal field theory compactifications of the Heterotic String and Calabi-Yau manifolds necessarily involves the discussion of embeddings in weighted projective space. …”

Zeta functions and modularity of Calabi-Yau manifolds by Thorne, A

“…</p> <p>This expansion provides an efficient means to compute a quartic factor R(T) of the local zeta function, not just for the quintic but for a large number of one parameter families of Calabi-Yau manifolds. We exploit the miraculous fact that U(λ) becomes a rational function mod p⁴ to avoid evaluating the series for U(λ) directly. …”

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. …”