We produce new non-Kähler complete steady gradient Ricci solitons whose asymptotics combine those of the Bryant solitons and the Hamilton cigar. The underlying manifolds are of the form ℝ2 × M2 × ⋯ × Mr where Mi are arbitrary Einstein manifolds with ...

Document(s)

Title

We review the quiver descriptions of symplectic and hyperkähler implosion in the case of SU(n) actions. We give quiver descriptions of symplectic implosion for other classical groups, and discuss some of the issues involved in obtaining a similar des...

We introduce an analogue in hyperkähler geometry of the symplectic implosion, in the case of actions. Our space is a stratified hyperkähler space which can be defined in terms of quiver diagrams. It also has a description as a non-reductive geometric...

We use analytical and numerical methods to investigate the equations for cohomogeneity one shrinking gradient Ricci solitons. We show the existence of a winding number for this system around the subvariety of phase space corresponding to Einstein sol...

We introduce a multiplicative version of complex-symplectic implosion in the case of SL(n,C)SL(n,C) . The universal multiplicative implosion for SL(n,C)SL(n,C) is an affine variety and can be viewed as a nonreductive geometric invariant theory quotie...

We introduce an analogue in hyperkähler geometry of the symplectic implosion, in the case of actions. Our space is a stratified hyperkähler space which can be defined in terms of quiver diagrams. It also has a description as a non-reductive geometric...

We introduce an analogue in hyperkähler geometry of the symplectic implosion, in the case of actions. Our space is a stratified hyperkähler space which can be defined in terms of quiver diagrams. It also has a description as a non-reductive geometric...

We review the quiver descriptions of symplectic and hyperkähler implosion in the case of SU(n) actions. We give quiver descriptions of symplectic implosion for other classical groups, and discuss some of the issues involved in obtaining a similar des...