23 citations · 242 across the 47 of their papers we have counts for
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A Canonical Quadratic Form on the Determinant Line of a Flat Vector Bundle
Maxim Braverman, Thomas Kappeler
We introduce and study a canonical quadratic form, called the torsion quadratic form, of the determinant line of a flat vector bundle over a closed oriented odd-dimensional manifol…
Comparison of the refined analytic and the Burghelea-Haller torsions
Maxim Braverman, Thomas Kappeler
The refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form on the determinant line of the cohom…
Ray-Singer Type Theorem for the Refined Analytic Torsion
Maxim Braverman, Thomas Kappeler
We show that the refined analytic torsion is a holomorphic section of the determinant line bundle over the space of complex representations of the fundamental group of a closed ori…
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…