29 citations · 90 across the 33 of their papers we have counts for
39 papers
Hypercomplex analytic spaces and schemes
Roger Bielawski
We propose definitions of hypercomplex analytic spaces and hypercomplex schemes. We show that such a hypercomplex space is canonically associated to the quotient of a hypercomplex…
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 Instanton Metrics
Roger Bielawski, Yannic Borchard, Sergey A. Cherkis
We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative . Via the generalized Legendre transf…
Hyperkähler geometry of rational curves in twistor spaces
Roger Bielawski, Naizhen Zhang
We investigate the pseudo-hyperkähler geometry of higher degree rational curves in the twistor space of a hyperkähler -manifold.
Invariant hypercomplex structures and algebraic curves
Roger Bielawski
We show that -invariant hypercomplex structures on (open subsets) of regular semisimple adjoint orbits in correspond to algebraic curves of…
On the Moore-Tachikawa varieties
Roger Bielawski
Moore-Tachikawa varieties are certain Hamiltonian holomorphic symplectic varieties conjectured in the context of -dimensional topological quantum field theories. We discuss seve…