Positive factorizations of pseudoperiodic homeomorphisms
Abstract
We generalize a classical result concerning smooth germs of surfaces, by proving that monodromies on links of isolated complex surface singularities associated with reduced holomorphic map germs admit a positive factorization. As a consequence of this and a topological characterization of these monodromies by Anne Pichon, we conclude that a pseudoperiodic homeomorphism on an oriented surface with boundary with positive fractional Dehn twist coefficients and screw numbers, admits a positive factorization. We use the main theorem to give a sufficiency criterion for certain pseudoperiodic homeomorphisms with negative screw numbers to admit a positive factorization.
Keywords
Cite
@article{arxiv.2001.08309,
title = {Positive factorizations of pseudoperiodic homeomorphisms},
author = {Pablo Portilla Cuadrado},
journal= {arXiv preprint arXiv:2001.08309},
year = {2020}
}
Comments
33 pages, 1 figure. Much more detailed first sections that in previous section. Same content as in journal accepted version