Volume 17, issue 1 (2017)

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

Volume 23
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

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
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Three-manifold mutations detected by Heegaard Floer homology

Corrin Clarkson

Algebraic & Geometric Topology 17 (2017) 1–16
Bibliography
1 A Abrams, S Schleimer, Distances of Heegaard splittings, Geom. Topol. 9 (2005) 95 MR2115669
2 D Auroux, Fukaya categories of symmetric products and bordered Heegaard–Floer homology, J. Gökova Geom. Topol. 4 (2010) 1 MR2755992
3 I Biringer, J Johnson, Y Minsky, Extending pseudo-Anosov maps into compression bodies, J. Topol. 6 (2013) 1019 MR3145149
4 A J Casson, S A Bleiler, Automorphisms of surfaces after Nielsen and Thurston, 9, Cambridge University Press (1988) MR964685
5 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton University Press (2012) MR2850125
6 A Fathi, F Laudenbach, V Poénaru, Thurston’s work on surfaces, 48, Princeton University Press (2012) MR3053012
7 D Gabai, Foliations and the topology of 3–manifolds, III, J. Differential Geom. 26 (1987) 479 MR910018
8 W Haken, Some results on surfaces in 3–manifolds, from: "Studies in modern topology" (editor P J Hilton), Math. Assoc. Amer. (1968) 39 MR0224071
9 U Hamenstädt, Train tracks and the Gromov boundary of the complex of curves, from: "Spaces of Kleinian groups" (editors Y N Minsky, M Sakuma, C Series), London Math. Soc. Lecture Note Ser. 329, Cambridge University Press (2006) 187 MR2258749
10 U Hamenstädt, Geometry of the complex of curves and of Teichmüller space, from: "Handbook of Teichmüller theory, I" (editor A Papadopoulos), IRMA Lect. Math. Theor. Phys. 11, Eur. Math. Soc. (2007) 447 MR2349677
11 W J Harvey, Boundary structure of the modular group, from: "Riemann surfaces and related topics" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton University Press (1981) 245 MR624817
12 M Hedden, Y Ni, Manifolds with small Heegaard Floer ranks, Geom. Topol. 14 (2010) 1479 MR2653731
13 J Hempel, 3–manifolds as viewed from the curve complex, Topology 40 (2001) 631 MR1838999
14 N V Ivanov, Subgroups of Teichmüller modular groups, 115, Amer. Math. Soc. (1992) MR1195787
15 E Klarreich, The boundary at infinity of the curve complex and the relative Teichmüller space, preprint (1999)
16 R Lipshitz, P Ozsvath, D Thurston, Bordered Heegaard Floer homology: invariance and pairing, preprint (2011) arXiv:0810.0687v5
17 R Lipshitz, P S Ozsváth, D P Thurston, A faithful linear-categorical action of the mapping class group of a surface with boundary, J. Eur. Math. Soc. (JEMS) 15 (2013) 1279 MR3055762
18 R Lipshitz, P S Ozsváth, D P Thurston, Bimodules in bordered Heegaard Floer homology, Geom. Topol. 19 (2015) 525 MR3336273
19 D D Long, A note on the normal subgroups of mapping class groups, Math. Proc. Cambridge Philos. Soc. 99 (1986) 79 MR809501
20 H Masur, Measured foliations and handlebodies, Ergodic Theory Dynam. Systems 6 (1986) 99 MR837978
21 A H Moore, L Starkston, Genus-two mutant knots with the same dimension in knot Floer and Khovanov homologies, Algebr. Geom. Topol. 15 (2015) 43 MR3325731
22 Y Ni, Nonseparating spheres and twisted Heegaard Floer homology, Algebr. Geom. Topol. 13 (2013) 1143 MR3044606
23 P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
24 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
25 P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
26 D Ruberman, Mutation and gauge theory, I : Yang–Mills invariants, Comment. Math. Helv. 74 (1999) 615 MR1730660
27 P Seidel, Fukaya categories and Picard–Lefschetz theory, Eur. Math. Soc. (2008) MR2441780
28 N Sheridan, Homological mirror symmetry for Calabi–Yau hypersurfaces in projective space, Invent. Math. 199 (2015) 1 MR3294958
29 W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 339, Amer. Math. Soc. (1986) 99 MR823443