32 citations · 122 across the 9 of their papers we have counts for
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math.KT2013★ 29 cited
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…
math-ph2013
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…