Dynamics, Spectral Geometry and Topology
arXiv:1012.5853 · doi:10.1063/1.3546074
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.
12 pages, lecture presented at the "Alexandru Myller" Mathematical Seminar Centennial Conference, June 21-26, 2010, Iasi, Romania