There is the general principle to consider a classical invariant of a closed Riemannian
manifold M and to define its analog for the universal covering M taking the action of the …

For a closed Riemannian manifold (M, g) we extend the definition of analytic and
Reidemeister torsion associated to a unitary representation of π 1 (M) on a finite …

Let (M, h) be a compact manifold in which H is an embedded hypersurface which separates
M into two pieces M+ and M_. If h is a metric on M and x is a defining function for H consider …

In this paper we de® ne a PoincareÂ-Reidemeister scalar product on the determinant line of
the cohomology of any at vector bundle over a closed orientable odddimensional manifold. It …

We construct a canonical element, called the refined analytic torsion, of the determinant line
of the cohomology of a closed oriented odd-dimensional manifold M with coefficients in a flat …

“L -invariants of regular coverings of compact manifolds and CW-complexes” Page 1 “L 2 -invariants
of regular coverings of compact manifolds and CW-complexes” Wolfgang Lück Fachbereich …

In the spirit of Ray and Singer we define a complex-valued analytic torsion using non-
selfadjoint Laplacians. We establish an anomaly formula which permits to turn this into a …

We prove that the twisted De Rham cohomology of a flat vector bundleover some smooth
manifold is isomorphic to the cohomology of invariant Pollicott--Ruelleresonant states …

arXiv:1406.3705v1 [math.AT] 14 Jun 2014 Page 1 LECTURE NOTES ON TORSIONS PAVEL
MNEV Abstract. These are the lecture notes for the introductory course on Whitehead …

In this paper we extend Witten–Helffer–Sjöstrand theory from selfadjoint Laplacians based
on fiber wise Hermitian metrics to nonselfadjoint Laplacians based on fiber wise non …