23 citations · 242 across the 47 of their papers we have counts for
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Normal form coordinates for the KdV equation having expansions in terms of pseudodifferential operators
Thomas Kappeler, Riccardo Montalto
Near an arbitrary finite gap potential we construct real analytic, canonical coordinates for the KdV equation on the torus having the following two main properties: (1) up to a rem…
On the Space of Trajectories of a Generic Vector Field
Dan Burghelea, Leonid Friedlander, Thomas Kappeler
This paper describes the construction of a canonical compactification of the space of trajectories and of the unstable/stable sets of a generic gradient like vector field on a clos…
A Refinement of the Ray-Singer Torsion
Maxim Braverman, Thomas Kappeler
This is a short version of math.DG/0505537. For an acyclic representation of the fundamental group of a compact oriented odd-dimensional manifold, which is close enough to a unitar…
Smooth Lyapunov 1-forms
M. Farber, T. Kappeler, J. Latschev +1
We find conditions which guarantee that a given flow on a closed smooth manifold admits a smooth Lyapunov one-form lying in a prescribed de Rham cohomology class. These conditions…