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5 papers · 1 filter
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…
On 3-dimensional Asymptotically Harmonic Manifolds
Viktor Schroeder, Hemangi Shah
Let (M,g) be a complete, simply connected Riemannian manifold of dimension 3 without conjugate points. We show that M is a hyperbolic manifold of constant sectional curvature, prov…
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…
Contact reduction and groupoid actions
Marco Zambon, Chenchang Zhu
We introduce a new method to perform reduction of contact manifolds that extends Willett's (math.SG/0104080) and Albert's results. To carry out our reduction procedure all we need…
Hyperbolic Rank of Products
Thomas Foertsch, Viktor Schroeder
Generalizing results due to Brady and Farb we prove the existence of a bilipschitz embedded manifold of pinched negative curvature and dimension m_1+m_2-1 in the product X:=X_1^{m_…