Geometry & Topology Volume 24, issue 1 (2020)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Recognition of being fibered for compact $3$–manifolds

Andrei Jaikin-Zapirain

Geometry & Topology 24 (2020) 409–420

DOI: 10.2140/gt.2020.24.409

Bibliography

1	I Agol, Criteria for virtual fibering, J. Topol. 1 (2008) 269 MR2399130
2	I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
3	M Aschenbrenner, S Friedl, H Wilton, 3–Manifold groups, Eur. Math. Soc. (2015) MR3444187
4	M Boileau, S Friedl, The profinite completion of 3–manifold groups, fiberedness and the Thurston norm, preprint (2015) arXiv:1505.07799
5	M Bridson, A Reid, Profinite rigidity, fibering, and the figure-eight knot, preprint (2015) arXiv:1505.07886
6	M R Bridson, A W Reid, H Wilton, Profinite rigidity and surface bundles over the circle, Bull. Lond. Math. Soc. 49 (2017) 831 MR3742450
7	W Cavendish, Finite-sheeted covering spaces and solenoids over 3–manifolds, PhD thesis, Princeton University (2012) MR3078440
8	S Friedl, S Vidussi, A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4–manifolds, J. Eur. Math. Soc. 15 (2013) 2027 MR3120739
9	F Grunewald, A Jaikin-Zapirain, A G S Pinto, P A Zalesskii, Normal subgroups of profinite groups of non-negative deficiency, J. Pure Appl. Algebra 218 (2014) 804 MR3149636
10	F Grunewald, A Jaikin-Zapirain, P A Zalesskii, Cohomological goodness and the profinite completion of Bianchi groups, Duke Math. J. 144 (2008) 53 MR2429321
11	A Jaikin-Zapirain, L²–Betti numbers and their analogues in positive characteristic, from: "Groups St Andrews 2017 in Birmingham" (editors C M Campbell, C W Parker, M R Quick, E F Robertson, C M Roney-Dougal), London Math. Soc. Lecture Note Ser. 455, Cambridge Univ. Press (2019) 346 MR3931420
12	D H Kochloukova, P A Zalesskii, Profinite and pro-p completions of Poincaré duality groups of dimension 3, Trans. Amer. Math. Soc. 360 (2008) 1927 MR2366969
13	K Lorensen, Groups with the same cohomology as their profinite completions, J. Algebra 320 (2008) 1704 MR2432001
14	P Przytycki, D T Wise, Separability of embedded surfaces in 3–manifolds, Compos. Math. 150 (2014) 1623 MR3260144
15	A W Reid, Profinite rigidity, from: "Proceedings of the International Congress of Mathematicians" (editors B Sirakov, P N d Souza, M Viana), World Sci. (2018) 1211 MR3966805
16	J P Serre, Galois cohomology, Springer (2002) MR1867431
17	J Stallings, On fibering certain 3–manifolds, from: "Topology of 3-manifolds and related topics" (editor J M. K. Fort), Prentice-Hall (1962) 95 MR0158375
18	D T Wise, Research announcement: the structure of groups with a quasiconvex hierarchy, Electron. Res. Announc. Math. Sci. 16 (2009) 44 MR2558631