Sebastian Goette

The Extended Bloch Group and the Cheeger–Chern–Simons Class

We present a formula for the full Cheeger-Chem-Simons class of the tautological flat complex vector bundle of rank 2 over BSL(2, C δ ). This improves the formula by Dupont and Zickert [6], where the class is only computed modulo 2-torsion.

Equivariant \(\eta\)-invariants on homogeneous spaces

Abstract. Let D be a homogeneous Dirac operator on the quotient M = G/H of two compact connected Lie groups. We construct a deformation

Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds

\tilde D

Kreck-Stolz invariants for quaternionic line bundles

ofD and calculate its equivariant

Holomorphic equivariant analytic torsions

\eta

The point spectrum of the dirac operator on noncompact symmetric spaces

-invariant

Spinc Structures and Scalar Curvature Estimates

\eta_G(\tilde D)

Computations and Applications of η Invariants

explicitly on the dense subset

Torsions analytiques équivariantes en théorie de de Rham

G_0

Scalar curvature estimates by parallel alternating torsion

of G that acts freely onM. On