Add to ORKGWe examine the local super trace asymptotics for the de Rham complex defined by an arbitrary super connection on the exterior algebra. We show, in contrast to the situation in which the connection in question is the Levi-Civita connection, that these invariants are generically non-zero in positive degree and that the critical term is not the Pfaffian.Instituto de Física La Plat
This thesis is concerned first with a non-compact variation of Connes' trace theorem, which demonstr...
We study the asymptotic growth of the eigenvalues of the Laplace-Beltrami operator on singular Riema...
AbstractWe obtain general theorems which enable the calculation of the Dixmier trace in terms of the...
AbstractWe show in the smooth category that the heat trace asymptotics and the heat content asymptot...
summary:A perturbation of the de Rham complex was introduced by Witten for an exact 1-form $\Theta $...
Motivated by examples from physics and noncommutative geometry, given a generator $A$ of a Gibbs sem...
AbstractWe give a simple heat equation proof of Demailly's asymptotic inequalities for the ∂ complex
The short-time heat kernel expansion of elliptic operators provides a link between local and global ...
Given a cone pseudodifferential operator $P$ we give a full asymptotic expansion as $t\to 0^+$ of th...
We study heat traces associated with positive unbounded operators with compact inverses. With the he...
We describe the small-time heat kernel asymptotics of real powers $\Delta^r$, $r \in (0,1)$ of a non...
The heat trace asymptotics on the noncommutative torus, where generalized Laplacians are made out of...
The asymptotic expansion of the heat kernel associated with Laplace operators is considered for gene...
We study the spectral geometry of an operator of Laplace type on a manifold with a singular surface....
Let (M, g) be a compact, d-dimensional Riemannian manifold without boundary. Suppose further that (M...
This thesis is concerned first with a non-compact variation of Connes' trace theorem, which demonstr...
We study the asymptotic growth of the eigenvalues of the Laplace-Beltrami operator on singular Riema...
AbstractWe obtain general theorems which enable the calculation of the Dixmier trace in terms of the...
AbstractWe show in the smooth category that the heat trace asymptotics and the heat content asymptot...
summary:A perturbation of the de Rham complex was introduced by Witten for an exact 1-form $\Theta $...
Motivated by examples from physics and noncommutative geometry, given a generator $A$ of a Gibbs sem...
AbstractWe give a simple heat equation proof of Demailly's asymptotic inequalities for the ∂ complex
The short-time heat kernel expansion of elliptic operators provides a link between local and global ...
Given a cone pseudodifferential operator $P$ we give a full asymptotic expansion as $t\to 0^+$ of th...
We study heat traces associated with positive unbounded operators with compact inverses. With the he...
We describe the small-time heat kernel asymptotics of real powers $\Delta^r$, $r \in (0,1)$ of a non...
The heat trace asymptotics on the noncommutative torus, where generalized Laplacians are made out of...
The asymptotic expansion of the heat kernel associated with Laplace operators is considered for gene...
We study the spectral geometry of an operator of Laplace type on a manifold with a singular surface....
Let (M, g) be a compact, d-dimensional Riemannian manifold without boundary. Suppose further that (M...
This thesis is concerned first with a non-compact variation of Connes' trace theorem, which demonstr...
We study the asymptotic growth of the eigenvalues of the Laplace-Beltrami operator on singular Riema...
AbstractWe obtain general theorems which enable the calculation of the Dixmier trace in terms of the...