Nielsen reduction in free groups with operators
Non abelian Reidemeister torsion and volume form on the SU(2)-representation space of knot groups
For a knot in the 3-sphere and a regular representation of its group into SU(2) we construct a non abelian Reidemeister torsion form on the first twisted cohomology group of the knot exterior. This non abelian Reidemeister torsion form provides a volume form on the SU(2)-representation space of . In another way, we construct using Casson’s original construction a natural volume form on the SU(2)-representation space of . Next, we compare these two apparently different points of view on the representation...
On 4-manifolds with free fundamental group.
On a volume element of a Hitchin component
Let Σ be a closed oriented Riemann surface of genus at least 2. By using symplectic chain complex, we construct a volume element for a Hitchin component of Hom(π₁(Σ),PSLₙ(ℝ))/PSLₙ(ℝ) for n > 2.
On Invariants of Hirzebruch and Cheeger-Gromov.
On manifolds with finitely generated homotopy groups.
On Polytopes Cut by Flats.
On the geometric topology of locally linear actions of finite groups
On the Orbit Structures of SU (n)-Actions on Manifolds of the Type of Euclidean, Spherical or Projective Spaces.
On the Reidemeister torsion of rational homology spheres.
Open books and h-cobordisms.
Rational L-groups of Bieberbach groups.
Reidemeister torsion and integrable Hamiltonian systems.
Reidemeister torsion, spectral sequences, and Brieskorn spheres.
Reidemeister-Turaev torsion modulo one of rational homology threespheres.
Relatively 1-Dimensional Complexes.
Resolutions of Homology Manifolds, and the Topological Characterization of Manifolds.
Rigidity and crystallographic groups, I.
R-torsion associated to infinite dimensional unitary representations.
SK1 for Finite Group Rings: I.