Factorizations in SL(2,Z) and simple examples of inequivalent Stein fillings
Symplectic Geometry
2015-08-21 v2 Geometric Topology
Abstract
We give simple examples of elements of SL(2,Z) admitting inequivalent factorizations into products of Dehn twists. This can be interpreted in terms of inequivalent Stein fillings of a same contact 3-manifold by genus 1 Lefschetz fibrations over the disk.
Keywords
Cite
@article{arxiv.1311.0847,
title = {Factorizations in SL(2,Z) and simple examples of inequivalent Stein fillings},
author = {Denis Auroux},
journal= {arXiv preprint arXiv:1311.0847},
year = {2015}
}
Comments
13 pages; v2: clarifications and additional references; to appear in J. Symplectic Geometry