Generalized Calabi-Yau Manifolds by Hitchin, N

Calabi-Yau manifolds and sporadic groups by Andreas Banlaki, Abhishek Chowdhury, Abhiram Kidambi, Maria Schimpf, Harald Skarke, Timm Wrase

“…We study the elliptic genera for Calabi-Yau manifolds of larger dimensions and discuss potential connections between the expansion coefficients of these elliptic genera and sporadic groups. …”
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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. …”

Free quotients of favorable Calabi-Yau manifolds by James Gray, Juntao Wang

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

“…The factorization structure identified here can also apply for CalabiYau manifolds of higher dimension.…”
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Calabi-Yau manifolds and SU(3) structure by Magdalena Larfors, Andre Lukas, Fabian Ruehle

“…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. …”
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Holomorphic Parabolic Geometries and Calabi-Yau Manifolds by Benjamin McKay

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Quantum K-theory of Calabi-Yau manifolds by Hans Jockers, Peter Mayr

“…We study the 3d gauge theory/quantum K-theory correspondence for global and local Calabi-Yau manifolds with several K¨ahler moduli. We propose a multi-cover formula that relates the 3d BPS world- volume degeneracies computed by quantum K-theory to Gopakumar-Vafa invariants.…”
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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. …”

One-dimensional super Calabi-Yau manifolds and their mirrors by S. Noja, S. L. Cacciatori, F. Dalla Piazza, A. Marrani, R. Re

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Numerical metrics, curvature expansions and Calabi-Yau manifolds by Wei Cui, James Gray

“…Abstract We discuss the extent to which numerical techniques for computing approximations to Ricci-flat metrics can be used to investigate hierarchies of curvature scales on Calabi-Yau manifolds. Control of such hierarchies is integral to the validity of curvature expansions in string effective theories. …”
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