PseudoAnosov homeomorphisms of punctured nonorientable surfaces with small stretch factor
Abstract
We prove that in the nonorientable setting, the minimal stretch factor of a pseudoAnosov homeomorphism of a surface of genus $g$ with a fixed number of punctures is asymptotically on the order of $\frac{1}{g}$. Our result adapts the work of Yazdi to nonorientable surfaces. We include the details of Thurston's theory of fibered faces for nonorientable 3manifolds.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 DOI:
 10.48550/arXiv.2107.04068
 arXiv:
 arXiv:2107.04068
 Bibcode:
 2021arXiv210704068K
 Keywords:

 Mathematics  Geometric Topology;
 37E30
 EPrint:
 Accepted to Algebraic and Geometric Topology. Statement (1) on page 11 is revised, typos corrected