32 citations · 122 across the 9 of their papers we have counts for
10 papers
The Gysin Sequence for Quantum Lens Spaces
Francesca Arici, Simon Brain, Giovanni Landi
We define quantum lens spaces as `direct sums of line bundles' and exhibit them as `total spaces' of certain principal bundles over quantum projective spaces. For each of these qua…
Gauge Theory for Spectral Triples and the Unbounded Kasparov Product
Simon Brain, Bram Mesland, Walter D. van Suijlekom
We explore factorizations of noncommutative Riemannian spin geometries over commutative base manifolds in unbounded KK-theory. After setting up the general formalism of unbounded K…
The Noncommutative Topology of Anti-Self-Dual Gauge Fields
Simon Brain
Through techniques afforded by -algebras and Hilbert modules, we study the topology of spaces which parametrize families of instanton gauge fields on noncommutative Euclidean…
Moduli Spaces of Instantons on Toric Noncommutative Manifolds
Simon Brain, Giovanni Landi, Walter D. van Suijlekom
We study analytic aspects of U(n) gauge theory over a toric noncommutative manifold . We analyse moduli spaces of solutions to the self-dual Yang-Mills equations on U(2) vecto…
Differential and Twistor Geometry of the Quantum Hopf Fibration
Simon Brain, Giovanni Landi
We study a quantum version of the SU(2) Hopf fibration and its associated twistor geometry. Our quantum sphere arises as the unit sphere inside a q-deformed q…
The ADHM Construction of Instantons on Noncommutative Spaces
Simon Brain, Walter D. van Suijlekom
We present an account of the ADHM construction of instantons on Euclidean space-time from the point of view of noncommutative geometry. We recall the main ingredient…