Smooth structure on the moduli space of instantons of a generic vector field

Abstract

This paper is a short version of some joint work with Stefan Haller. It describes the structure of "smooth manifold with corners" on the space of possibly broken instantons and on the completion of unstable manifolds of a generic smooth vector field. The result is stated in Theorem 1.4.

20 pages, 6 figures, addition of "missing components" as explained in introduction, minor typos corrected

References in corpus (2)

• Dynamics, Laplace transform and Spectral geometry
• On the topology and analysis of a closed one form. I (Novikov's theory revisited)