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arXiv · 1012.5853

Dynamics, Spectral Geometry and Topology

Dan Burghelea
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Abstract

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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Dan Burghelea. 2010-12-28. Dynamics, Spectral Geometry and Topology. https://doi.org/10.1063/1.3546074

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