14 citations · 17 across the 5 of their papers we have counts for
5 papers
Kirwan surjectivity and Lefschetz-Sommese theorems for a generalized hyperkähler reduction
Jonathan Fisher, Lisa Jeffrey, Alessandro Malusà +1
Let be a compact Lie group. We study a class of Hamiltonian -manifolds decorated with a function with certain equivariance properties, under conditions on…
Localization for -Contact Manifolds
L. Casselmann, J. M. Fisher
We prove an analogue of the Atiyah-Bott-Berline-Vergne localization formula in the setting of equivariant basic cohomology of -contact manifolds. As a consequence, we deduce ana…
The Topology and Geometry of Hyperkähler Quotients
Jonathan Fisher
In this thesis we study the topology and geometry of hyperkähler quotients, as well as some related non-compact Kähler quotients, from the point of view of Hamiltonian group action…
Hyperpolygons and Hitchin systems
Jonathan Fisher, Steven Rayan
We study the hyperkähler analogues of moduli spaces of semistable n-gons in complex projective space. We prove that the hyperkähler Kirwan map is surjective and produce a formula t…
Morse theory with the norm-square of a hyperkahler moment map
Jonathan Fisher
We prove that the norm-square of a moment map associated to a linear action of a compact group on an affine variety satisfies a certain gradient inequality. This allows us to bound…