9 citations · 10 across the 2 of their papers we have counts for
3 papers
math.DG2005★ 1 cited
Noncommutative geometry of foliations
Yuri A. Kordyukov
We review basic notions and methods of noncommutative geometry and their applications to analysis and geometry on foliated manifolds.
math.DG2003★ 9 cited
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory
Y. Kordyukov, V. Mathai, M. Shubin
In this paper, we study a refined L2 version of the semiclassical approximation of projectively invariant elliptic operators with invariant Morse type potentials on covering spaces…
math.DG2000
The trace formula for transversally elliptic operators on Riemannian foliations
Yuri A. Kordyukov
We prove a Duistermaat-Guillemin trace formula for transversally elliptic operators on a compact foliated manifold.