Algebraic & Geometric Topology Volume 22, issue 3 (2022)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Nontrivial Steenrod squares on prime, hyperbolic and satellite knots

Holt Bodish

Algebraic & Geometric Topology 22 (2022) 1273–1285

DOI: 10.2140/agt.2022.22.1273

Bibliography

1	S A Bleiler, Realizing concordant polynomials with prime knots, Pacific J. Math. 100 (1982) 249 MR669325
2	M Hedden, Y Ni, Khovanov module and the detection of unlinks, Geom. Topol. 17 (2013) 3027 MR3190305
3	A Kawauchi, Almost identical imitations of (3,1)–dimensional manifold pairs, Osaka J. Math. 26 (1989) 743 MR1040422
4	S G Kim, Invertible knot concordances and prime knots, Honam Math. J. 32 (2010) 157 MR2643014
5	R C Kirby, W B R Lickorish, Prime knots and concordance, Math. Proc. Cambridge Philos. Soc. 86 (1979) 437 MR542689
6	T Lawson, R Lipshitz, S Sarkar, Khovanov homotopy type, Burnside category and products, Geom. Topol. 24 (2020) 623 MR4153651
7	A S Levine, I Zemke, Khovanov homology and ribbon concordances, Bull. Lond. Math. Soc. 51 (2019) 1099 MR4041014
8	W B R Lickorish, Prime knots and tangles, Trans. Amer. Math. Soc. 267 (1981) 321 MR621991
9	R Lipshitz, S Sarkar, A Khovanov stable homotopy type, J. Amer. Math. Soc. 27 (2014) 983 MR3230817
10	R Lipshitz, S Sarkar, A refinement of Rasmussen’s S–invariant, Duke Math. J. 163 (2014) 923 MR3189434
11	R Lipshitz, S Sarkar, A Steenrod square on Khovanov homology, J. Topol. 7 (2014) 817 MR3252965
12	R Lipshitz, S Sarkar, Spatial refinements and Khovanov homology, from: "Proceedings of the International Congress of Mathematicians, II" (editors B Sirakov, P N d Souza, M Viana), World Sci. (2018) 1153 MR3966803
13	C Livingston, Homology cobordisms of 3–manifolds, knot concordances, and prime knots, Pacific J. Math. 94 (1981) 193 MR625818
14	J Schultens, Additivity of bridge numbers of knots, Math. Proc. Cambridge Philos. Soc. 135 (2003) 539 MR2018265
15	C Seed, Computations of the Lipshitz–Sarkar Steenrod square on Khovanov homology, preprint (2012) arXiv:1210.1882
16	A N Shumakovitch, Torsion of Khovanov homology, Fund. Math. 225 (2014) 343 MR3205577
17	D S Silver, W Whitten, Hyperbolic covering knots, Algebr. Geom. Topol. 5 (2005) 1451 MR2186104
18	B Wilson, Topics in Khovanov homology, PhD thesis, University of California, San Diego (2012)