A note on orderability and Dehn filling
HTML articles powered by AMS MathViewer
- by Christopher Herald and Xingru Zhang PDF
- Proc. Amer. Math. Soc. 147 (2019), 2815-2819 Request permission
Abstract:
We improve upon a recent result of Culler and Dunfield on orderability of certain Dehn fillings by removing a difficult condition they required.References
- Steven Boyer, Cameron McA. Gordon, and Liam Watson, On L-spaces and left-orderable fundamental groups, Math. Ann. 356 (2013), no. 4, 1213–1245. MR 3072799, DOI 10.1007/s00208-012-0852-7
- Steven Boyer, Dale Rolfsen, and Bert Wiest, Orderable 3-manifold groups, Ann. Inst. Fourier (Grenoble) 55 (2005), no. 1, 243–288 (English, with English and French summaries). MR 2141698
- Marc Culler and Nathan M. Dunfield, Orderability and Dehn filling, Geom. Topol. 22 (2018), no. 3, 1405–1457. MR 3780437, DOI 10.2140/gt.2018.22.1405
- C. McA. Gordon and J. Luecke, Reducible manifolds and Dehn surgery, Topology 35 (1996), no. 2, 385–409. MR 1380506, DOI 10.1016/0040-9383(95)00016-X
- Christopher M. Herald, Existence of irreducible representations for knot complements with nonconstant equivariant signature, Math. Ann. 309 (1997), no. 1, 21–35. MR 1467643, DOI 10.1007/s002080050099
- Michael Heusener, Joan Porti, and Eva Suárez Peiró, Deformations of reducible representations of 3-manifold groups into $\textrm {SL}_2(\mathbf C)$, J. Reine Angew. Math. 530 (2001), 191–227. MR 1807271, DOI 10.1515/crll.2001.003
- Tao Li and Rachel Roberts, Taut foliations in knot complements, Pacific J. Math. 269 (2014), no. 1, 149–168. MR 3233914, DOI 10.2140/pjm.2014.269.149
- Peter Ozsváth and Zoltán Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004), 311–334. MR 2023281, DOI 10.2140/gt.2004.8.311
- Rachel Roberts, Taut foliations in punctured surface bundles. II, Proc. London Math. Soc. (3) 83 (2001), no. 2, 443–471. MR 1839461, DOI 10.1112/plms/83.2.443
Additional Information
- Christopher Herald
- Affiliation: Department of Mathematics and Statistics, University of Nevada, Reno, Nevada 89557
- MR Author ID: 357086
- Email: herald@unr.edu
- Xingru Zhang
- Affiliation: Department of Mathematics, University at Buffalo, Buffalo, New York 14260
- MR Author ID: 346629
- Email: xinzhang@buffalo.edu
- Received by editor(s): June 29, 2018
- Received by editor(s) in revised form: October 16, 2018
- Published electronically: March 15, 2019
- Additional Notes: The first author was partially supported by a grant from the Simons Foundation (#523337).
- Communicated by: David Futer
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2815-2819
- MSC (2010): Primary 20F60, 57M05, 57M25
- DOI: https://doi.org/10.1090/proc/14445
- MathSciNet review: 3973885