9 citations · 12 across the 4 of their papers we have counts for
6 papers · 1 filter
Torsion, as a function on the space of representations
Dan Burghelea, Stefan Haller
Riemannian Geometry, Topology and Dynamics permit to introduce partially defined holomorphic functions on the variety of representations of the fundamental group of a manifold. The…
Laplace transform, dynamics and spectral geometry
Dan Burghelea, Stefan Haller
We consider vector fields on a closed manifold with rest points of Morse type. For such vector fields we define the property of exponential growth. A cohomology class $ξ\in…
A short course on Witten Helffer-Sjöstrand theory
Dan Burghelea
Witten-Helffer-Sjöstrand theory is an addition to Morse theory and Hodge-de Rham theory for Riemannian manifolds and considerably improves on them by injecting some spectral theory…
On the topology and analysis of a closed one form. I (Novikov's theory revisited)
Dan Burghelea, Stefan Haller
We consider systems with a closed smooth manifold, a real valued closed one form and a Riemannian metric, so that is a Morse-Smale pair, Definition~2.…
Lectures on Witten Helffer Sjöstrand Theory
Dan Burghelea
Witten- Helffer-Sjöstrand theory is a considerable addition to the De Rham- Hodge theory for Riemannian manifolds and can serve as a general tool to prove results about comparison…
Removing Metric Anomalies from Ray Singer Torsion
Dan Burghelea
Ray Singer torsion is a numerical invariant associated with a compact Riemannian manifold equipped with a flat bundle and a Hermitian structure on this bundle. In this note we show…