Algebraic & Geometric Topology Volume 17, issue 4 (2017)

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The mapping cone formula in Heegaard Floer homology and Dehn surgery on knots in $S^3$

Fyodor Gainullin

Algebraic & Geometric Topology 17 (2017) 1917–1951

DOI: 10.2140/agt.2017.17.1917

Bibliography

1	R H Crowell, Nonalternating links, Illinois J. Math. 3 (1959) 101 MR0099667
2	J E Greene, L-space surgeries, genus bounds, and the cabling conjecture, J. Differential Geom. 100 (2015) 491 MR3352796
3	S Jabuka, Heegaard Floer genus bounds for Dehn surgeries on knots, J. Topol. 7 (2014) 523 MR3217629
4	S Jabuka, Heegaard Floer groups of Dehn surgeries, J. Lond. Math. Soc. 92 (2015) 499 MR3431647
5	Ç Karakurt, HFNem2 (2013)
6	M Lackenby, Dehn surgery on knots in 3–manifolds, J. Amer. Math. Soc. 10 (1997) 835 MR1443548
7	M Lackenby, J S Purcell, Cusp volumes of alternating knots, Geom. Topol. 20 (2016) 2053 MR3548463
8	D McCoy, Non-integer surgery and branched double covers of alternating knots, J. Lond. Math. Soc. 92 (2015) 311 MR3404026
9	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
10	K Murasugi, On the Alexander polynomial of the alternating knot, Osaka Math. J. 10 (1958) 181 MR0099666
11	Y Ni, Z Wu, Cosmetic surgeries on knots in S³, J. Reine Angew. Math. 706 (2015) 1 MR3393360
12	Y Ni, X Zhang, Characterizing slopes for torus knots, Algebr. Geom. Topol. 14 (2014) 1249 MR3190593
13	J K Osoinach Jr., Manifolds obtained by surgery on an infinite number of knots in S³, Topology 45 (2006) 725 MR2236375
14	P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
15	P Ozsváth, Z Szabó, On the Floer homology of plumbed three-manifolds, Geom. Topol. 7 (2003) 185 MR1988284
16	P Ozsváth, Z Szabó, Holomorphic disks and genus bounds, Geom. Topol. 8 (2004) 311 MR2023281
17	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
18	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004) 1027 MR2113019
19	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
20	P Ozsváth, Z Szabó, On Heegaard Floer homology and Seifert fibered surgeries, from: "Proceedings of the Casson Fest" (editors C Gordon, Y Rieck), Geom. Topol. Monogr. 7, Geom. Topol. Publ. (2004) 181 MR2172483
21	P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
22	P S Ozsváth, Z Szabó, Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101 MR2377279
23	P S Ozsváth, Z Szabó, Knot Floer homology and rational surgeries, Algebr. Geom. Topol. 11 (2011) 1 MR2764036
24	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard (2003) MR2704683
25	J Rasmussen, Lens space surgeries and a conjecture of Goda and Teragaito, Geom. Topol. 8 (2004) 1013 MR2087076
26	D Rolfsen, Knots and links, 7, Publish or Perish (1990) MR1277811
27	M Teragaito, A Seifert fibered manifold with infinitely many knot-surgery descriptions, Int. Math. Res. Not. 2007 (2007) MR2347296
28	J Wang, Cosmetic surgeries on genus one knots, Algebr. Geom. Topol. 6 (2006) 1491 MR2253457
29	Z Wu, On mapping cones of Seifert fibered surgeries, J. Topol. 5 (2012) 366 MR2928081