AbstractIn this paper, we introduce a new differential invariant called L2-analytic torsion, for closed manifolds with positive decay and whose universal covers have trivial L2-cohomology. L2-analytic torsion can be thought of as a suitable generalization of the Ray-Singer analytic torsion. We establish various functorial properties of L2-analytic torsion and also compute it for odd-dimensional, closed, hyperbolic manifolds, with the help of results from Fried
In this paper, we present an analytic definition for the relative torsion for flat C*-algebra bundle...
We consider a complex fibration and pull back bundles E 1 and E 2 over M . Using the adiabatic limit...
AbstractWe define extensions of the L2-analytic invariants of closed manifolds, called delocalized L...
AbstractIn this paper, we introduce a new differential invariant called L2-analytic torsion, for clo...
We extend the definition, in the extended cohomology framework, of the L2-analytic torsion for cover...
AbstractWe discuss a generalisation of Reidemeister-Franz torsion which applies to infinite dimensio...
<p>The central idea of this dissertation is to interpret certain invariants constructed from Laplace...
We construct a canonical element, called the rened analytic torsion, of the de-terminant line of the...
We define analytic torsion of Z2-graded elliptic complexes as an element in the graded determinant ...
AbstractWe show that the refined analytic torsion is a holomorphic section of the determinant line b...
We define analytic torsion τ(X,ε, H) ∈ detH(X,ε, H) for the twisted de Rham complex, consisting of t...
In this paper we show that the Ray-Singer complex analytic torsion is trivial for even dimensional C...
We define analytic torsion τ(X,ε,H) ∈ det H •(X,ε,H) for the twisted de Rham complex, consisting of ...
We define a twisted L2 -torsion on the character variety of a 3-manifold M and study some of its pro...
For a closed manifold $M$ we introduce the set of co-Euler structures and we define the modified Ray...
In this paper, we present an analytic definition for the relative torsion for flat C*-algebra bundle...
We consider a complex fibration and pull back bundles E 1 and E 2 over M . Using the adiabatic limit...
AbstractWe define extensions of the L2-analytic invariants of closed manifolds, called delocalized L...
AbstractIn this paper, we introduce a new differential invariant called L2-analytic torsion, for clo...
We extend the definition, in the extended cohomology framework, of the L2-analytic torsion for cover...
AbstractWe discuss a generalisation of Reidemeister-Franz torsion which applies to infinite dimensio...
<p>The central idea of this dissertation is to interpret certain invariants constructed from Laplace...
We construct a canonical element, called the rened analytic torsion, of the de-terminant line of the...
We define analytic torsion of Z2-graded elliptic complexes as an element in the graded determinant ...
AbstractWe show that the refined analytic torsion is a holomorphic section of the determinant line b...
We define analytic torsion τ(X,ε, H) ∈ detH(X,ε, H) for the twisted de Rham complex, consisting of t...
In this paper we show that the Ray-Singer complex analytic torsion is trivial for even dimensional C...
We define analytic torsion τ(X,ε,H) ∈ det H •(X,ε,H) for the twisted de Rham complex, consisting of ...
We define a twisted L2 -torsion on the character variety of a 3-manifold M and study some of its pro...
For a closed manifold $M$ we introduce the set of co-Euler structures and we define the modified Ray...
In this paper, we present an analytic definition for the relative torsion for flat C*-algebra bundle...
We consider a complex fibration and pull back bundles E 1 and E 2 over M . Using the adiabatic limit...
AbstractWe define extensions of the L2-analytic invariants of closed manifolds, called delocalized L...
DOI
Add to ORKG