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. …”

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. …”

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

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

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Generalized Lagrangian mean curvature flow in almost Calabi-Yau manifolds by Behrndt, T

“…</p><p>The second problem we study is the short time existence problem for the generalized Lagrangian mean curvature flow in almost Calabi-Yau manifolds, when the initial Lagrangian submanifold has isolated conical singularities that are modelled on stable special Lagrangian cones. …”

Elliptic fibrations among toric hypersurface Calabi-Yau manifolds and mirror symmetry of fibrations by Huang, Yu-Chien,Ph. D.Massachusetts Institute of Technology.

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Moduli spaces of complexes of coherent sheaves by Gross, J

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Spin(7) Instantons on asymptotically conical Calabi-Yau Fourfolds by Papoulias, VE

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Holomorphic Yukawa couplings in heterotic string theory by Blesneag, S

“…We then specialise to a class of heterotic string models for which the vector bundle is split into a sum of line bundles and the Calabi-Yau manifold is defined as a complete intersection in projective ambient spaces.…”

Superstrings by Greene, B, Greene, Brian

“…Further reduction of the gauge group and emergence of naturally light weak Higgs doublets may also occur by flux breaking if the Calabi Yau manifold is multiply connected. We analyse the feasibility of such scenarios for Calabi Yau manifolds with any possible fundamental group. …”

Calibrations and minimal Lagrangian submanifolds by Goldstein, Edward, 1977-

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Investigations in Calabi-Yau modularity and mirror symmetry by McGovern, J

“…<p>This thesis lays out a number of different projects, linked by the common thread of Calabi-Yau manifolds.</p> <p>We produce tables of instanton numbers for various multiparameter Calabi-Yau manifolds. …”

Classification of base geometries in F-theory by Wang, Yinan, Ph. D. Massachusetts Institute of Technology

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Geometry of Ricci-flat Kähler manifolds and some counterexamples by Božin, Vladimir, 1973-

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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. …”

Heterotic string compactification and quiver gauge theory on toric geometry by Sun, C

“…<p>This thesis is composed of papers in two areas: heterotic string model building on Calabi-Yau manifolds, and bipartite field theory with applications to brane tilings. …”

Aspects of string model building and heterotic/F-theory duality by Brodie, CR

“…We focus on the simpler case of complex surfaces as a step towards understanding the case of Calabi-Yau manifolds. These surfaces can also be used as bases for elliptic three- folds, and their cohomology lifted via the Leray spectral sequence. …”

Calabi-Yau categories and quivers with superpotential by Lam, YT

“…Hence quivers with superpotential can be viewed as noncommutative Calabi- Yau manifolds.</p> <p>One might then ask if there are derived equivalences between Calabi-Yau manifolds and quivers with superpotential. …”