Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 6, 1965–2352
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Large volume fibered knots in 3-manifolds

J Robert Oakley

Algebraic & Geometric Topology 26 (2026) 955–971
Bibliography
1 J Alexander, A lemma on systems of knotted curves, Proc. Natl. Acad. Sci. U.S.A. 9 (1923) 93
2 K L Baker, D Futer, J S Purcell, S Schleimer, Large volume fibred knots of fixed genus, Math. Res. Lett. 31 (2024) 1305 MR4837556
3 F Bonahon, Geodesic laminations on surfaces, from: "Laminations and foliations in dynamics, geometry and topology" (editors M Lyubich, J W Milnor, Y N Minsky), Contemp. Math. 269, Amer. Math. Soc. (2001) 1 MR1810534
4 J F Brock, The Weil–Petersson metric and volumes of 3-dimensional hyperbolic convex cores, J. Amer. Math. Soc. 16 (2003) 495 MR1969203
5 J F Brock, Weil–Petersson translation distance and volumes of mapping tori, Comm. Anal. Geom. 11 (2003) 987 MR2032506
6 A J Casson, S A Bleiler, Automorphisms of surfaces after Nielsen and Thurston, 9, Cambridge Univ. Press (1988) MR964685
7 M T Clay, C J Leininger, J Mangahas, The geometry of right-angled Artin subgroups of mapping class groups, Groups Geom. Dyn. 6 (2012) 249 MR2914860
8 V Colin, K Honda, Stabilizing the monodromy of an open book decomposition, Geom. Dedicata 132 (2008) 95 MR2396912
9 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
10 A Fathi, F Laudenbach, V Poénaru, Thurston’s work on surfaces, 48, Princeton Univ. Press (2012) MR3053012
11 T Fuller, On fiber-preserving isotopies of surface homeomorphisms, Proc. Amer. Math. Soc. 129 (2001) 1247 MR1709751
12 D Gabai, W H Kazez, The classification of maps of surfaces, Invent. Math. 90 (1987) 219 MR910200
13 J Hempel, 3-manifolds as viewed from the curve complex, Topology 40 (2001) 631 MR1838999
14 H M Hilden, Three-fold branched coverings of S3, Amer. J. Math. 98 (1976) 989 MR425968
15 S Hirose, E Kalfagianni, E Kin, Volumes of fibered 2-fold branched covers of 3-manifolds, J. Topol. Anal. 17 (2025) 409 MR4899939
16 E Klarreich, The boundary at infinity of the curve complex and the relative Teichmüller space, Groups Geom. Dyn. 16 (2022) 705 MR4502619
17 G Levitt, Foliations and laminations on hyperbolic surfaces, Topology 22 (1983) 119 MR683752
18 H A Masur, Y N Minsky, Geometry of the complex of curves, I : Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
19 H A Masur, Y N Minsky, Geometry of the complex of curves, II : Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
20 J M Montesinos, Three-manifolds as 3-fold branched covers of S3, Quart. J. Math. Oxford Ser. (2) 27 (1976) 85 MR394630
21 R Myers, Open book decompositions of 3-manifolds, Proc. Amer. Math. Soc. 72 (1978) 397 MR507346
22 W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
23 R R Winarski, Symmetry, isotopy, and irregular covers, Geom. Dedicata 177 (2015) 213 MR3370031