4 citations · 10 across the 6 of their papers we have counts for
7 papers
Bundles over Connected Sums
Lisa C Jeffrey, Paul Selick
A principal bundle over the connected sum of two manifolds need not be diffeomorphic or even homotopy equivalent to a non-trivial connected sum of manifolds. We show however that t…
Flat connections and the commutator map for SU(2)
Nan-Kuo Ho, Lisa C. Jeffrey, Paul Selick +1
We study the topology of the SU(2)-representation variety of the compact oriented surface of genus 2 with one boundary component about which the holonomy is a generator of the cent…
Spectral curves for the triple reduced product of coadjoint orbits for SU(3)
Jacques Hurtubise, Lisa Jeffrey, Steven Rayan +2
We give an identification of the triple reduced product of three coadjoint orbits in SU(3) with a space of Hitchin pairs over a genus 0 curve with three punctures, where the residu…
The product structure of the equivariant K-theory of the based loop group of SU(2)
Megumi Harada, Lisa C. Jeffrey, Paul Selick
Let G=SU(2) and let ΩG denote the space of continuous based loops in G, equipped with the pointwise conjugation action of G. It is a classical fact in topology that the ordinary co…
The module structure of the equivariant K-theory of the based loop group of SU(2)
Megumi Harada, Lisa C. Jeffrey, Paul Selick
Let and let denote the space of based loops in SU(2). We explicitly compute the -module structure of the topological equivariant -theory and in…
The space of commuting n-tuples in SU(2)
Thomas Baird, Lisa Jeffrey, Paul Selick
Let Y = Hom(Z^n, SU(2)) denote the space of commuting n-tuples in SU(2). We determine the homotopy type of the suspension of Y and compute the integral cohomology groups of Y for a…
Kirwan surjectivity in K-theory for Hamiltonian loop group quotients
Megumi Harada, Paul Selick
Let G be a compact Lie group and LG its associated loop group. The main result of this manuscript is a surjectivity theorem from the equivariant K-theory of a Hamiltonian LG-space…