71 citations · 375 across the 24 of their papers we have counts for
28 papers
Spectral Action in Noncommutative Geometry
Michał Eckstein, Bruno Iochum
What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes,…
Heat coefficient for nonminimal Laplace type operators
Bruno Iochum, Thierry Masson
Given a smooth hermitean vector bundle of fiber over a compact Riemannian manifold and a covariant derivative on , let $P = -(\lvert g \rvert^{-1/2}…
Spectral Geometry
Bruno Iochum
The goal of these lectures is to present the few fundamentals of noncommutative geometry looking around its spectral approach. Strongly motivated by physics, in particular by relat…
Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori
Bruno Iochum, Thierry Masson
Let be a Laplace type operator acting on a smooth hermitean vector bundle of fiber over a compact Riemannian manifold given locally by $P= - [g^{μν} u(x)\par…
Heat trace for Laplacian type operators with non-scalar symbols
Bruno Iochum, Thierry Masson
For an elliptic selfadjoint operator acting on a fiber bundle over a Riemannian manifold, where are -matrice…
Spectral action in noncommutative geometry: An example
B Iochum
This is a report on a joint work [12] with D. Essouabri, C. Levy and A. Sitarz. The spectral action on noncommutative torus is obtained, using a Chamseddine--Connes formula via com…