Geometric quantization and dynamical constructions on the space of Kähler metrics by Rubinstein, Yanir Akiva

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Matter field Kahler metric in heterotic string theory from localisation by Blesneag, Ş, Buchbinder, E, Constantin, A, Lukas, A, Palti, E

“…We propose an analytic method to calculate the matter field Kähler metric in heterotic compactifications on smooth Calabi-Yau three-folds with Abelian internal gauge fields. …”

Matter field Kähler metric in heterotic string theory from localisation by Blesneag, S, Buchbinder, E, Constantin, A, Lukas, A, Palti, E

“…We propose an analytic method to calculate the matter field Kähler metric in heterotic compactifications on smooth Calabi-Yau three-folds with Abelian internal gauge fields. …”

SCALAR-FLAT KAHLER AND HYPER-KAHLER METRICS FROM PAINLEVE-III by Tod, K

Asymptotically Locally Euclidean metrics with holonomy SU(m) by Joyce, D

“…In this paper we study Ricci-flat ALE Kahler metrics on X. We show that if G is a subgroup of SU(m) acting freely on C^m - 0, and X is a crepant resolution of C^m/G, then there is a unique Ricci-flat ALE Kahler metric in each Kahler class. …”

Equivariant inverse spectral theory and toric orbifolds by Dryden, Emily B., Sena-Dias, Rosa Isabel, Guillemin, Victor W.

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Moduli Kähler potential for M theory on a G2 manifold by Lukas, A, Morris, S

“…As a verification of our result, some of the components of the Kähler metric are computed directly by integration over harmonic forms. …”

COMMENTS ON CONIFOLDS by Candelas, P, Delaossa, X

“…A priori, there exists the possibility that the singular manifold that is common to two different moduli spaces has two different Ricci-flat Kahler metrics, each being the limit of the Ricci-flat Kähler metric of the respective topologically distinct Calabi-Yau manifold. …”

Symmetric vacua in heterotic M theory by Lukas, A, Ovrut, B

“…In particular, the gauge kinetic functions receive no perturbative threshold corrections, there are no corrections to the matter field Kähler metric and the associated five-dimensional effective theory admits flat space as its vacuum.…”

On the degeneration of asymptotically conical Calabi–Yau metrics by Collins, Tristan C., Guo, Bin, Tong, Freid

“…We show that under appropriate assumptions, the Ricci-flat Kähler metrics converge to a incomplete smooth Ricci-flat Kähler metric away from a compact subvariety. …”
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Morita equivalence and the generalized Kähler potential by Bischoff, F, Gualtieri, M, Zabzine, M

“…To solve the problem we make use of, and generalize, two main tools: the first is the notion of symplectic Morita equivalence, developed by Weinstein and Xu to study Poisson manifolds; the second is Donaldson's interpretation of a Kähler metric as a real Lagrangian submanifold in a deformation of the holomorphic cotangent bundle.…”

Quasi-ALE metrics with holonomy SU(m) and Sp(m) by Joyce, D

“…We define a special class of Kahler metrics g on X called Quasi Asymptotically Locally Euclidean (QALE) metrics. …”

Morita equivalence and the generalized Kähler potential by Bischoff, F, Gualtieri, M, Zabzine, M

“…To solve the problem we make use of, and generalize, two main tools: the first is the notion of symplectic Morita equivalence, developed by Weinstein and Xu to study Poisson manifolds; the second is Donaldson’s interpretation of a Kähler metric as a real Lagrangian submanifold in a deformation of the holomorphic cotangent bundle.…”

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

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Hearing Delzant polytopes from the equivariant spectrum by Dryden, Emily B., Guillemin, Victor W., Sena-Dias, Rosa Isabel

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Hyperkähler and quaternionic Kähler geometry by Swann, A

“…</p> <p>Nilpotent orbits in a complex semi-simple Lie algebra, with the hyperKähler metrics defined by Kronheimer, are shown to give rise to quaternionic Kähler metrics and various examples of these metrics are identified. …”

Resolutions of non-regular Ricci-flat Kahler cones by Martelli, D, Sparks, J

“…We present explicit constructions of complete Ricci-flat Kähler metrics that are asymptotic to cones over non-regular Sasaki-Einstein manifolds. …”

Metric geometries over the split quaternions by Dancer, A, Jørgensen, H, Swann, A

“…These are used to classify examples with a fully homogeneous action of a semi-simple Lie group, and to construct distinct para-quaternionic Kähler metrics from indefinite real analytic conformal manifolds. …”

The geometry and stability of fibrations by Hallam, M

“…The second topic is the deformation theory and families of Kähler metrics with weighted constant scalar curvature. …”

Supersyrnmetric AdS(5) solutions of M-theory by Gauntlett, J, Martelli, D, Sparks, J, Waldram, D

“…We show that M6 is partly specified by a one-parameter family of four-dimensional Kähler metrics. We find a large family of new explicit regular solutions where M6 is a compact, complex manifold which is topologically a 2-sphere bundle over a four-dimensional base, where the latter is either (i) Kähler-Einstein with positive curvature, or (ii) a product of two constant-curvature Riemann surfaces. …”