Eine globalanalytische Behandlung des Douglas'schen Problems.
Elliptic cohomologies: an introductory survey.
Let α and β be any angles then the known formula sin (α+β) = sinα cosβ + cosα sinβ becomes under the substitution x = sinα, y = sinβ, sin (α + β) = x √(1 - y2) + y √(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics.In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler addition formula (1778): F(x,y) =: (x √R(y) + y √R(x)/1 - εx2y2)....
Elliptic operators and covers of Riemannian manifolds.
Equivariant Bott-Chern currents and the Ray-Singer analytic torsion.
Errata to the Paper: On the Heat Equation and the Index Theorem.
Erratum to Von Neumann Spectra Near Zero.
Espaces de Krein et index des systèmes hamiltoniens
Eta invariants of Dirac operators on locally symmetric manifolds.
Fermion on curved spaces, symmetries, and quantum anomalies.
Finitude et classes caractéristiques pour les -modules et les faisceaux constructibles
Fixed point indices of equivariant maps and Möbius inversions.
Flaccidity of geometric index for nonsingular vector fields.
Flat vector bundles and analytic torsion forms
Formal deformations of symplectic manifolds with boundary.
Formules de Lefschetz délocalisées
Fourier-Mukai transform and index theory.
Geometric heat kernel coefficient for APS-type boundary conditions
I present an alternative way of computing the index of a Dirac operator on a manifold with boundary and a special family of pseudodifferential boundary conditions. The local version of this index theorem contains a number of divergence terms in the interior, which are higher order heat kernel invariants. I will present a way of associating boundary terms to those divergence terms, which are rather local of nature.
Group Cohomology with Lipschitz Control and Higher Signatures.
Higher Equivariant Index Theorem for Homogeneous spaces.
Higher -indices and applications