Algebraic & Geometric Topology Volume 17, issue 1 (2017)

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Three-manifold mutations detected by Heegaard Floer homology

Corrin Clarkson

Algebraic & Geometric Topology 17 (2017) 1–16

DOI: 10.2140/agt.2017.17.1

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