Godbillon-Vey invariants for families of foliations
D. Kotschick
TL;DR
This paper explores cohomology classes of even degree as cobordism invariants for families of foliations, extending the classical Godbillon-Vey invariant which applies to single foliations.
Contribution
It introduces a new perspective on cobordism invariants for families of foliations, focusing on even degree cohomology classes.
Findings
Identification of even degree cohomology classes as cobordism invariants
Extension of Godbillon-Vey invariants to families of foliations
New theoretical framework for foliations and their invariants
Abstract
The classical Godbillon-Vey invariant is an odd degree cohomology class that is a cobordism invariant of a single foliation. Here we investigate cohomology classes of even degree that are cobordism invariants of (germs of) 1-parameter families of foliations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology