15 citations · 28 across the 7 of their papers we have counts for
4 papers · 1 filter
Classification of Connections on Higher-Dimensional Non-Commutative Tori
Ryszard Nest, Rolf Dyre Svegstrup
If X is a full, finitely generated, projective module over a non-commutative torus, the Yang-Mills functional attains its minimum exactly on the flat connections on X. We classify…
Chern character for twisted complexes
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
We construct a Chern character of a perfect complex of twisted modules over an algebroid stack.
KK-theory and Spectral Flow in von Neumann Algebras
Jens Kaad, Ryszard Nest, Adam Rennie
We present a definition of spectral flow relative to any norm closed ideal J in any von Neumann algebra N. Given a path D(t) of selfadjoint operators in N which are invertible in N…
Deformations of gerbes on smooth manifolds
P. Bressler, A. Gorokhovsky, R. Nest +1
We identify the 2-groupoid of deformations of a gerbe on a smooth manifold with the Deligne 2-groupoid of a corresponding twist of the DGLA of local Hochschild cochains on infinite…