Virtually fibered conjecture

<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/Virtually_Haken_conjecture/4qgD4tWN">Virtually Haken conjecture</a></li>
<li><a href="/facts/Surface_subgroup_conjecture/myeDSAVj">Surface subgroup conjecture</a></li>
<li><a href="/facts/Ehrenpreis_conjecture/J7o7yYBh">Ehrenpreis conjecture</a></li></ul>
<h2 id="notes">Notes</h2>

<ul><li>Thurston, William P. (1982). <a href="https://doi.org/10.1090%2FS0273-0979-1982-15003-0">"Three dimensional manifolds, Kleinian groups and hyperbolic geometry"</a>. <i>Bulletin of the American Mathematical Society</i>. 6 (3): 357–382. <a href="/facts/CiteSeerX_(identifier)/SceDmd3c">CiteSeerX</a> <a href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.535.7618">10.1.1.535.7618</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1090%2FS0273-0979-1982-15003-0">10.1090/S0273-0979-1982-15003-0</a>.</li>
<li>D. Gabai, <i>On 3-manifold finitely covered by surface bundles</i>, Low Dimensional Topology and Kleinian Groups (ed: D.B.A. Epstein), London Mathematical Society Lecture Note Series vol 112 (1986), p. 145-155.</li>
<li>Agol, Ian (2008). "Criteria for virtual fibering". <i>Journal of Topology</i>. 1 (2): 269–284. <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/0707.4522">0707.4522</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1112%2Fjtopol%2Fjtn003">10.1112/jtopol/jtn003</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:3028314">3028314</a>.</li></ul>
<h2 id="external-links">External links</h2>
<ul><li><a href="/facts/Erica_Klarreich/arTCNGU4">Klarreich, Erica</a> (2012-10-02). <a href="https://www.quantamagazine.org/from-hyperbolic-geometry-to-cube-complexes-and-back-20121002/">"Getting Into Shapes: From Hyperbolic Geometry to Cube Complexes and Back"</a>. <i><a href="/facts/Quanta_Magazine/FkbYnGtU">Quanta Magazine</a></i>.</li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Thurston 1982, p. 380. - Thurston, William P. (1982). "Three dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical Society. 6 (3): 357–382. CiteSeerX 10.1.1.535.7618. doi:10.1090/S0273-0979-1982-15003-0. <a href="https://doi.org/10.1090%2FS0273-0979-1982-15003-0" target="_blank">https://doi.org/10.1090%2FS0273-0979-1982-15003-0</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>Bergeron, Nicolas; Wise, Daniel T. (2012). "A boundary criterion for cubulation". American Journal of Mathematics. 134 (3): 843–859. arXiv:0908.3609. doi:10.1353/ajm.2012.0020. MR 2931226. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>Wise, Daniel (2009). "Research announcement: The structure of groups with a quasiconvex hierarchy". Electronic Research Announcements in Mathematical Sciences. 16: 44–55. doi:10.3934/era.2009.16.44. <a href="http://escholarship.mcgill.ca/downloads/5q47rt62r" target="_blank">http://escholarship.mcgill.ca/downloads/5q47rt62r</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
<li id="fn:4"><p>Haglund, Frédéric; Wise, Daniel (2012). "A combination theorem for special cube complexes". Annals of Mathematics. 176 (3): 1427–1482. doi:10.4007/annals.2012.176.3.2. <a href="https://doi.org/10.4007%2Fannals.2012.176.3.2" target="_blank">https://doi.org/10.4007%2Fannals.2012.176.3.2</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li>
<li id="fn:5"><p>Christopher Hruska, G. C.; Wise, Daniel T. (2014). "Finiteness properties of cubulated groups". Compositio Mathematica. 150 (3): 453–506. arXiv:1209.1074. doi:10.1112/S0010437X13007112. S2CID 119341019. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li>
<li id="fn:6"><p>Hsu, Tim; Wise, Daniel T. (2015). "Cubulating malnormal amalgams". Inventiones Mathematicae. 199 (2): 293–331. Bibcode:2015InMat.199..293H. doi:10.1007/s00222-014-0513-4. S2CID 122292998. <a href="/wiki/Bibcode_(identifier)" target="_blank">/wiki/Bibcode_(identifier)</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li>
<li id="fn:7"><p>Wise, Daniel T. The structure of groups with a quasiconvex hierarchy (PDF). <a href="https://www.imo.universite-paris-saclay.fr/~haglund/Hierarchy29Feb2012.pdf" target="_blank">https://www.imo.universite-paris-saclay.fr/~haglund/Hierarchy29Feb2012.pdf</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li>
<li id="fn:8"><p>Agol, Ian (2013). "The virtual Haken conjecture". Documenta Mathematica. 18. With an appendix by Ian Agol, Daniel Groves and Jason Manning: 1045–1087. arXiv:1204.2810. MR 3104553. <a href="https://elibm.org/article/10000267" target="_blank">https://elibm.org/article/10000267</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li>
</ol>

Virtually fibered conjecture open-in-new

Virtually fibered conjecture