7 papers
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…
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…