Journal of Symplectic Geometry

Volume 13 (2015)

Number 2

Factorizations in $SL(2, \mathbb{Z})$ and simple examples of inequivalent Stein fillings

Pages: 261 – 277

DOI: https://dx.doi.org/10.4310/JSG.2015.v13.n2.a1

Author

Denis Auroux (Department of Mathematics, University of California at Berkeley)

Abstract

We give simple examples of elements of $SL(2, \mathbb{Z})$ admitting inequivalent factorizations into products of Dehn twists. This can be interpreted in terms of inequivalent Stein fillings of the same contact $3$-manifold by genus $1$ Lefschetz fibrations over the disk.

Published 13 April 2015