83 citations · 132 across the 12 of their papers we have counts for
15 papers
Cohomogeneity one solutions of the IIB system
Lorenzo Foscolo, Mario Garcia-Fernandez
The IIB system is a system of PDEs for an SU(3)--structure and a positive function on a 6-manifold. Its solutions describe conformally balanced pluriclosed Hemitian metrics on comp…
Complete noncompact G2-manifolds with ALC asymptotics
Lorenzo Foscolo, Mark Haskins, Johannes Nordström
We prove existence, uniqueness and structure results for complete noncompact 7-dimensional G2-holonomy metrics with ALC (asymptotically locally conical) asymptotics. We regard such…
Unstable minimal spheres with degree-1 Gauss lift in hyperkähler 4-manifolds
Lorenzo Foscolo, Federico Trinca
We exhibit new minimal 2-spheres in hyperkähler 4-manifolds arising from the Gibbons--Hawking ansatz and in the K3 manifold endowed with a hyperkähler metric. These minimal surface…
Hypertoric varieties, -Hilbert schemes, and Coulomb branches
Roger Bielawski, Lorenzo Foscolo
We study transverse equivariant Hilbert schemes of affine hypertoric varieties equipped with a symplectic action of a Weyl group. In particular, we show that the Coulomb branches o…
Calorons and constituent monopoles
Lorenzo Foscolo, Calum Ross
We study anti-self-dual Yang-Mills instantons on , also known as calorons, and their behaviour under collapse of the circle factor. In this limit, we ma…
Deformations of hyperkähler cones
Roger Bielawski, Lorenzo Foscolo
We use twistor methods to promote Namikawa's universal Poisson deformations of conic affine symplectic singularities to families of hyperkähler structures deforming hyperkähler con…
New -conifolds in -theory and their Field Theory Interpretation
Bobby Samir Acharya, Lorenzo Foscolo, Marwan Najjar +1
A recent theorem of Foscolo-Haskins-Nordström which constructs complete -holonomy orbifolds from circle bundles over Calabi-Yau cones can be utilised to construct and investig…
Complete non-compact Spin(7) manifolds from self-dual Einstein 4-orbifolds
Lorenzo Foscolo
We present an analytic construction of complete non-compact 8-dimensional Ricci-flat manifolds with holonomy Spin(7). The construction relies on the study of the adiabatic limit of…
Infinitely many new families of complete cohomogeneity one G_2-manifolds: G_2 analogues of the Taub-NUT and Eguchi-Hanson spaces
Lorenzo Foscolo, Mark Haskins, Johannes Nordström
We construct infinitely many new 1-parameter families of simply connected complete noncompact G_2-manifolds with controlled geometry at infinity. The generic member of each family…
Complete non-compact G2-manifolds from asymptotically conical Calabi-Yau 3-folds
Lorenzo Foscolo, Mark Haskins, Johannes Nordström
We develop a powerful new analytic method to construct complete non-compact G2-manifolds, i.e. Riemannian 7-manifolds (M,g) whose holonomy group is the compact exceptional Lie grou…
ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surface
Lorenzo Foscolo
We construct large families of new collapsing hyperkähler metrics on the K3 surface. The limit space is the quotient of a flat 3-torus by an involution. Away from finitely many exc…
Deformation theory of nearly Kähler manifolds
Lorenzo Foscolo
Nearly Kähler manifolds are the Riemannian 6-manifolds admitting real Killing spinors. Equivalently, the Riemannian cone over a nearly Kähler manifold has holonomy contained in G2.…
New G2 holonomy cones and exotic nearly Kaehler structures on the 6-sphere and the product of a pair of 3-spheres
Lorenzo Foscolo, Mark Haskins
There is a rich theory of so-called (strict) nearly Kaehler manifolds, almost-Hermitian manifolds generalising the famous almost complex structure on the 6-sphere induced by octoni…
Deformation theory of periodic monopoles (with singularities)
Lorenzo Foscolo
We show that for generic choices of parameters the moduli spaces of periodic monopoles (with singularities), i.e. monopoles on possibly singu…
A gluing construction for periodic monopoles
Lorenzo Foscolo
We construct periodic monopoles (with singularities), i.e. monopoles on possibly singular at a finite collection of points, by gluing methods…