90 citations · 731 across the 37 of their papers we have counts for
4 papers · 1 filter
Cyclic cocycles in the spectral action
Teun D. H. van Nuland, Walter D. van Suijlekom
We show that the spectral action, when perturbed by a gauge potential, can be written as a series of Chern--Simons actions and Yang--Mills actions of all orders. In the odd orders,…
Holomorphic structures on the quantum projective line
Masoud Khalkhali, Giovanni Landi, Walter D. van Suijlekom
We show that much of the structure of the 2-sphere as a complex curve survives the q-deformation and has natural generalizations to the quantum 2-sphere - which, with additional st…
Noncommutative tori and the Riemann-Hilbert correspondence
Snigdhayan Mahanta, Walter D. van Suijlekom
We study the interplay between noncommutative tori and noncommutative elliptic curves through a category of equivariant differential modules on . We functorially rela…
Local index formula for SU_q(2)
Walter van Suijlekom, Ludwik Dabrowski, Giovanni Landi +2
We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bund…