Using simplicial volume to count multi-tangent trajectories of traversing vector fields

For a non-vanishing gradient-like vector field on a compact manifold X[superscript n+1] with boundary, a discrete set of trajectories may be tangent to the boundary with reduced multiplicity n, which is the maximum possible. (Among them are trajectories that are tangent to ∂X exactly n times.) We pr...

Full description

Bibliographic Details
Main Authors: Alpert, Hannah (Contributor), Katz, Gabriel (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Netherlands, 2016-12-15T23:21:08Z.
Subjects:
Online Access:Get fulltext