A homological estimate for the Thurston norm
Vladimir Turaev
TL;DR
This paper introduces a new homological lower bound for the Thurston norm on 3-manifolds' 1-cohomology, extending previous results and also providing bounds for 2-dimensional CW-complexes.
Contribution
It presents a novel homological estimate for the Thurston norm, generalizing prior bounds and applying to both 3-manifolds and 2-dimensional CW-complexes.
Findings
New homological lower bound for Thurston norm on 3-manifolds
Extension of bounds to 2-dimensional CW-complexes
Generalization of previous results by McMullen, Harvey, and the author
Abstract
We establish a new homological lower bound for the Thurston norm on 1-cohomology of 3-manifolds. This generalizes previous results of C. McMullen, S. Harvey, and the author. We also establish an analogous lower bound for 1-cohomology of 2-dimensional CW-complexes.
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
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research