English

A homological estimate for the Thurston norm

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0207267,
  title  = {A homological estimate for the Thurston norm},
  author = {Vladimir Turaev},
  journal= {arXiv preprint arXiv:math/0207267},
  year   = {2007}
}

Comments

32 pages, no figures

R2 v1 2026-07-22T16:46:52.306Z