122 citations · 250 across the 12 of their papers we have counts for
5 papers · 1 filter
Gromov-Hausdorff convergence of state spaces for spectral truncations
Walter D. van Suijlekom
We study the convergence aspects of the metric on spectral truncations of geometry. We find general conditions on sequences of operator system spectral triples that allows one to p…
Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space
Walter D. van Suijlekom, Luuk S. Verhoeven
We construct an unbounded representative for the shriek class associated to the embeddings of spheres into Euclidean space. We equip this unbounded Kasparov cycle with a connection…
Noncommutative families of instantons
Giovanni Landi, Chiara Pagani, Cesare Reina +1
We construct -deformations of the classical groups SL(2,H) and Sp(2). Coacting on the basic instanton on a noncommutative four-sphere , we construct a noncommutative fami…
Noncommutative instantons from twisted conformal symmetries
Giovanni Landi, Walter D. van Suijlekom
We construct a five-parameter family of gauge-nonequivalent SU(2) instantons on a noncommutative four sphere and of topological charge equal to -1. These instantons are cri…
The Dirac operator on SU_q(2)
Ludwik Dabrowski, Giovanni Landi, Andrzej Sitarz +2
We construct a 3^+ summable spectral triple (A(SU_q(2)),H,D) over the quantum group SU_q(2) which is equivariant with respect to a left and a right action of U_q(su(2)). The geomet…