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Mixed $ 3$-manifolds are virtually special


Authors: Piotr Przytycki and Daniel T. Wise
Journal: J. Amer. Math. Soc.
MSC (2010): Primary 20F65, 57M50
DOI: https://doi.org/10.1090/jams/886
Published electronically: October 19, 2017
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Abstract: Let $ M$ be a compact oriented irreducible $ 3$-manifold which is neither a graph manifold nor a hyperbolic manifold. We prove that $ \pi _1M$ is virtually special.


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Additional Information

Piotr Przytycki
Affiliation: Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warsaw, Poland; and Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 0B9
Email: piotr.przytycki@mcgill.ca

Daniel T. Wise
Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 0B9
Email: wise@math.mcgill.ca

DOI: https://doi.org/10.1090/jams/886
Received by editor(s): June 6, 2012
Received by editor(s) in revised form: July 24, 2013, May 14, 2014, and May 12, 2017
Published electronically: October 19, 2017
Additional Notes: The first author was partially supported by MNiSW grant N201 012 32/0718, the Foundation for Polish Science, National Science Centre DEC-2012/06/A/ST1/00259 and UMO-2015/18/M/ST1/00050, NSERC and FRQNT
The second author was supported by NSERC
Article copyright: © Copyright 2017 American Mathematical Society