Algebraic & Geometric Topology Volume 18, issue 1 (2018)

Download this article
	For screen
	For printing

Recent 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

Heegaard Floer homology and knots determined by their complements

Fyodor Gainullin

Algebraic & Geometric Topology 18 (2018) 69–109

DOI: 10.2140/agt.2018.18.69

Bibliography

1	S Boyer, Dehn surgery on knots, from: "Handbook of geometric topology" (editors R J Daverman, R B Sher), North-Holland (2002) 165 MR1886670
2	S Boyer, D Lines, Surgery formulae for Casson’s invariant and extensions to homology lens spaces, J. Reine Angew. Math. 405 (1990) 181 MR1041002
3	D Cooper, M Lackenby, Dehn surgery and negatively curved 3–manifolds, J. Differential Geom. 50 (1998) 591 MR1690741
4	M Culler, C M Gordon, J Luecke, P B Shalen, Dehn surgery on knots, Ann. of Math. 125 (1987) 237 MR881270
5	C H Edwards Jr., Concentricity in 3–manifolds, Trans. Amer. Math. Soc. 113 (1964) 406 MR0178459
6	F Gainullin, The mapping cone formula in Heegaard Floer homology and Dehn surgery on knots in S³, Algebr. Geom. Topol. 17 (2017) 1917 MR3685598
7	C M Gordon, Dehn surgery on knots, from: "Proceedings of the International Congress of Mathematicians, I" (editor I Satake), Math. Soc. Japan (1991) 631 MR1159250
8	C M Gordon, J Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989) 371 MR965210
9	A E Hatcher, Notes on basic 3–manifold topology, book project (2007)
10	J Hom, T Lidman, N Zufelt, Reducible surgeries and Heegaard Floer homology, Math. Res. Lett. 22 (2015) 763 MR3350104
11	A Juhász, Floer homology and surface decompositions, Geom. Topol. 12 (2008) 299 MR2390347
12	R C Kirby editor, Problems in low-dimensional topology, from: "Geometric topology, II" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
13	P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. 165 (2007) 457 MR2299739
14	W B R Lickorish, An introduction to knot theory, 175, Springer (1997) MR1472978
15	A Manion, Heegaard Floer homology and knots, Part III essay, University of Cambridge (2010)
16	M Mauricio, Distance bounding and Heegaard Floer homology methods in reducible Dehn surgery, PhD thesis, Imperial College London (2012)
17	Y Ni, Knot Floer homology detects fibred knots, Invent. Math. 170 (2007) 577 MR2357503
18	Y Ni, Link Floer homology detects the Thurston norm, Geom. Topol. 13 (2009) 2991 MR2546619
19	Y Ni, Z Wu, Heegaard Floer correction terms and rational genus bounds, Adv. Math. 267 (2014) 360 MR3269182
20	Y Ni, Z Wu, Cosmetic surgeries on knots in S³, J. Reine Angew. Math. 706 (2015) 1 MR3393360
21	Y Ni, X Zhang, Characterizing slopes for torus knots, Algebr. Geom. Topol. 14 (2014) 1249 MR3190593
22	P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
23	P Ozsváth, Z Szabó, On the Floer homology of plumbed three-manifolds, Geom. Topol. 7 (2003) 185 MR1988284
24	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
25	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
26	P Ozsváth, Z Szabó, Knot Floer homology, genus bounds, and mutation, Topology Appl. 141 (2004) 59 MR2058681
27	P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
28	P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356
29	P Ozsváth, Z Szabó, Lectures on Heegaard Floer homology, from: "Floer homology, gauge theory, and low-dimensional topology" (editors D A Ellwood, P S Ozsváth, A I Stipsicz, Z Szabó), Clay Math. Proc. 5, Amer. Math. Soc. (2006) 29 MR2249248
30	P S Ozsváth, Z Szabó, Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101 MR2377279
31	P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
32	J H Przytycki, A Yasukhara, Symmetry of links and classification of lens spaces, Geom. Dedicata 98 (2003) 57 MR1988423
33	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) MR2704683
34	J Rasmussen, Lens space surgeries and L–space homology spheres, preprint (2007) arXiv:0710.2531
35	H C Ravelomanana, Knot complement problem for L–space ℤHS³, preprint (2015) arXiv:1505.00239
36	Y W Rong, Some knots not determined by their complements, from: "Quantum topology" (editors L H Kauffman, R A Baadhio), Ser. Knots Everything 3, World Sci. (1993) 339 MR1273583
37	R Rustamov, Surgery formula for the renormalized Euler characteristic of Heegaard Floer homology, preprint (2004) arXiv:math/0409294
38	K Walker, An extension of Casson’s invariant, 126, Princeton University Press (1992) MR1154798