12 citations · 20 across the 4 of their papers we have counts for
10 papers
A Refinement of the Ray-Singer Torsion
Maxim Braverman, Thomas Kappeler
This is a short version of math.DG/0505537. For an acyclic representation of the fundamental group of a compact oriented odd-dimensional manifold, which is close enough to a unitar…
Refined Analytic Torsion
Maxim Braverman, Thomas Kappeler
For an acyclic representation of the fundamental group of a compact oriented odd-dimensional manifold, which is close enough to a unitary representation, we define a refinement of…
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…
Kirwan-Novikov inequalities on a manifold with boundary
Maxim Braverman, Valentin Silantyev
We extend the Novikov Morse-type inequalities for closed 1-forms in 2 directions. First, we consider manifolds with boundary. Second, we allow a very degenerate structure of the cr…
New proof of the Cheeger-Muller Theorem
Maxim Braverman
We present a short analytic proof of the equality between the analytic and combinatorial torsion. We use the same approach as in the proof given by Burghelea, Friedlander and Kappe…
Index theorem for equivariant Dirac operators on non-compact manifolds
Maxim Braverman
Let be a (generalized) Dirac operator on a non-compact complete Riemannian manifold acted on by a compact Lie group . Let be an equivariant map, such th…