20 citations · 43 across the 10 of their papers we have counts for
12 papers
The heat asymptotics on filtered manifolds
Shantanu Dave, Stefan Haller
The short-time heat kernel expansion of elliptic operators provides a link between local and global features of classical geometries. For many geometric structures related to (non-…
Graded hypoellipticity of BGG sequences
Shantanu Dave, Stefan Haller
This article studies hypoellipticity on general filtered manifolds. We extend the Rockland criterion to a pseudodifferential calculus on filtered manifolds, construct a parametrix…
On 5-manifolds admitting rank two distributions of Cartan type
Shantanu Dave, Stefan Haller
We consider the question whether an orientable 5-manifold can be equipped with a rank two distribution of Cartan type and what 2-plane bundles can be realized. We obtain a complete…
The periodic cyclic homology of crossed products of finite type algebras
Jacek Brodzki, Shantanu Dave, Victor Nistor
We study the periodic cyclic homology groups of the cross-product of a finite type algebra by a discrete group . In case is commutative and is finite, our results ar…
Singularity structures for noncommutative spaces
Shantanu Dave, Michael Kunzinger
We introduce a (bi)category whose objects can be functorially assigned spaces of distributions and generalized functions. In addition, these spaces of distributio…
Geometric regularization on Riemannian and Lorentzian manifolds
Shantanu Dave, Guenther Hoermann, Michael Kunzinger
We investigate regularizations of distributional sections of vector bundles by means of nets of smooth sections that preserve the main regularity properties of the original distrib…