Algebraic & Geometric Topology Volume 23, issue 2 (2023)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Nonslice linear combinations of iterated torus knots

Anthony Conway, Min Hoon Kim and Wojciech Politarczyk

Algebraic & Geometric Topology 23 (2023) 765–802

DOI: 10.2140/agt.2023.23.765

Bibliography

1	T Abe, K Tagami, Fibered knots with the same 0–surgery and the slice-ribbon conjecture, Math. Res. Lett. 23 (2016) 303 MR3512887
2	K L Baker, A note on the concordance of fibered knots, J. Topol. 9 (2016) 1 MR3465837
3	M Borodzik, A Conway, W Politarczyk, Twisted Blanchfield pairings and twisted signatures, I : Algebraic background, Linear Algebra Appl. 655 (2022) 236 MR4493203
4	M Borodzik, A Conway, W Politarczyk, Twisted Blanchfield pairings and twisted signatures, II : Relation to Casson–Gordon invariants, preprint (2021) arXiv:1809.08791v4
5	M Borodzik, A Conway, W Politarczyk, Twisted Blanchfield pairings and twisted signatures, III: Applications, preprint (2021) arXiv:2111.10631
6	A J Casson, C M Gordon, On slice knots in dimension three, from: "Algebraic and geometric topology, II" (editor R J Milgram), Proc. Sympos. Pure Math. XXXII, Amer. Math. Soc. (1978) 39 MR520521
7	A J Casson, C M Gordon, Cobordism of classical knots, from: "À la recherche de la topologie perdue" (editors L Guillou, A Marin), Progr. Math. 62, Birkhäuser (1986) 181 MR900252
8	S Friedl, Eta invariants as sliceness obstructions and their relation to Casson–Gordon invariants, Algebr. Geom. Topol. 4 (2004) 893 MR2100685
9	S Friedl, S Vidussi, A survey of twisted Alexander polynomials, from: "The mathematics of knots" (editors M Banagl, D Vogel), Contrib. Math. Comput. Sci. 1, Springer (2011) 45 MR2777847
10	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
11	M Hedden, Some remarks on cabling, contact structures, and complex curves, from: "Proceedings of Gökova Geometry–Topology Conference 2007" (editors S Akbulut, T Önder, R J Stern), GGT (2008) 49 MR2509749
12	M Hedden, On knot Floer homology and cabling, II, Int. Math. Res. Not. 2009 (2009) 2248 MR2511910
13	M Hedden, Notions of positivity and the Ozsváth–Szabó concordance invariant, J. Knot Theory Ramifications 19 (2010) 617 MR2646650
14	M Hedden, P Kirk, C Livingston, Non-slice linear combinations of algebraic knots, J. Eur. Math. Soc. 14 (2012) 1181 MR2928848
15	C Herald, P Kirk, C Livingston, Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation, Math. Z. 265 (2010) 925 MR2652542
16	J Hom, A note on cabling and L–space surgeries, Algebr. Geom. Topol. 11 (2011) 219 MR2764041
17	C Kearton, Cobordism of knots and Blanchfield duality, J. London Math. Soc. 10 (1975) 406 MR385873
18	P Kirk, C Livingston, Twisted Alexander invariants, Reidemeister torsion, and Casson–Gordon invariants, Topology 38 (1999) 635 MR1670420
19	T Kitano, Twisted Alexander polynomial and Reidemeister torsion, Pacific J. Math. 174 (1996) 431 MR1405595
20	W B R Lickorish, An introduction to knot theory, 175, Springer (1997) MR1472978
21	R A Litherland, Signatures of iterated torus knots, from: "Topology of low-dimensional manifolds" (editor R A Fenn), Lecture Notes in Math. 722, Springer (1979) 71 MR547456
22	R A Litherland, Cobordism of satellite knots, from: "Four-manifold theory" (editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math. Soc. (1984) 327 MR780587
23	C Livingston, P Melvin, Algebraic knots are algebraically dependent, Proc. Amer. Math. Soc. 87 (1983) 179 MR677257
24	C Livingston, P Melvin, Abelian invariants of satellite knots, from: "Geometry and topology" (editors J Alexander, J Harer), Lecture Notes in Math. 1167, Springer (1985) 217 MR827271
25	A Miller, M Powell, Symmetric chain complexes, twisted Blanchfield pairings and knot concordance, Algebr. Geom. Topol. 18 (2018) 3425 MR3868226
26	K Miyazaki, Nonsimple, ribbon fibered knots, Trans. Amer. Math. Soc. 341 (1994) 1 MR1176509
27	P S Ozsváth, A I Stipsicz, Z Szabó, Concordance homomorphisms from knot Floer homology, Adv. Math. 315 (2017) 366 MR3667589
28	L Rudolph, How independent are the knot-cobordism classes of links of plane curve singularities?, Notices Amer. Math. Soc. 23 (1976) 410
29	M Tange, Upsilon invariants of L–space cable knots, Topology Appl. 324 (2023) MR4519345