Asymptotic homology of the paths spaces: two cases study

Abstract: Given a nonholonomic vector distribution on a smooth manifold M, it is well-known that embedding of the horizontal loop space into the whole loop space is a homotopy equivalence. We know however that horizontal loop spaces have deep singularities and extremely rich local and global structure even if M is contractible. In principle, one can recover hidden structural complexity of the horizontal loop spaces by calculating homology of some natural filtrations of the space. I am going to show two examples of such calculations.

differential geometrygeneral mathematicsgeneral topologygroup theorysymplectic geometry

Audience: researchers in the topic

Workshop on Singularity Theory, Geometry and Related Topics

Series comments: Registration is free, but mandatory. Participantes can register at forms.gle/1kpTWgNiD4PEHJBS6