École Polytechnique

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math.DG2005

Rigidity of amalgamated product in negative curvature

Gerard Besson, Gilles Courtois, Sylvain Gallot

Let $Γ$ be the fundamental group of a compact n-dimensional riemannian manifold X of sectional curvature bounded above by -1. We suppose that $Γ$ is a free product of its subgroup…

math.DG2004

Eta-invariants, Torsion forms and Flat vector bundles

Xiaonan Ma, weiping Zhang

We present a new proof, as well as a $C/Q$ extension, of the Riemann-Roch-Grothendieck theorem of Bismut-Lott for flat vector bundles. The main techniques used are the comput…

math.DG2004★ 1 cited

$K$ -theory associated to vertex operator algebras

Chongying Dong, Kefeng Liu, Xiaonan Ma +1

We introduce two $K$ -theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algeb…

Rigidity of amalgamated product in negative curvature

Eta-invariants, Torsion forms and Flat vector bundles

K-theory associated to vertex operator algebras

$K$ -theory associated to vertex operator algebras