Dynamics, Spectral Geometry and Topology

Details Dynamics, Spectral Geometry and Topology Dynamics, Spectral Geometry and Topology

2010-12-28

arxiv.org/abs/1012.5853v1

Mathematics

Dynamical Systems

12 pages, lecture presented at the "Alexandru Myller" Mathematical Seminar Centennial Conference, June 21-26, 2010, Iasi, Roma

Scientific paper

The paper is an informal report on joint work with Stefan Haller on Dynamics in relation with Topology and Spectral Geometry. By dynamics one means a smooth vector field on a closed smooth manifold; the elements of dynamics of concern are the rest points, instantons and closed trajectories. One discusses their counting in the case of a generic vector field which has some additional properties satisfied by a still very large class of vector fields.

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