Volume 13, issue 5 (2013)

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Slice knots which bound punctured Klein bottles

Arunima Ray

Algebraic & Geometric Topology 13 (2013) 2713–2731
Bibliography
1 J C Cha, The structure of the rational concordance group of knots, Mem. Amer. Math. Soc. 189 (2007) 95 MR2343079
2 J C Cha, C Livingston, D Ruberman, Algebraic and Heegaard–Floer invariants of knots with slice Bing doubles, Math. Proc. Cambridge Philos. Soc. 144 (2008) 403 MR2405897
3 B E Clark, Crosscaps and knots, Internat. J. Math. Math. Sci. 1 (1978) 113 MR0478131
4 T D Cochran, C D Davis, Counterexamples to Kauffman's conjectures on slice knots arXiv:1303.4418
5 T D Cochran, C D Davis, A Ray, Injectivity of satellite operators in knot concordance, to appear in Journal of Topology arXiv:1205.5058
6 T D Cochran, B D Franklin, M Hedden, P D Horn, Knot concordance and homology cobordism, Proc. Amer. Math. Soc. 141 (2013) 2193 MR3034445
7 T D Cochran, S Friedl, P Teichner, New constructions of slice links, Comment. Math. Helv. 84 (2009) 617 MR2507256
8 T D Cochran, S Harvey, C Leidy, Derivatives of knots and second-order signatures, Algebr. Geom. Topol. 10 (2010) 739 MR2606799
9 T D Cochran, K E Orr, Not all links are concordant to boundary links, Ann. of Math. 138 (1993) 519 MR1247992
10 T D Cochran, K E Orr, P Teichner, Knot concordance, Whitney towers and $L^2$–signatures, Ann. of Math. 157 (2003) 433 MR1973052
11 T D Cochran, K E Orr, P Teichner, Structure in the classical knot concordance group, Comment. Math. Helv. 79 (2004) 105 MR2031301
12 D Cooper, Signatures of surfaces with applications to knot and link cobordism, PhD thesis, University of Warwick (1982)
13 P M Gilmer, Slice knots in $S^{3}$, Quart. J. Math. Oxford Ser. 34 (1983) 305 MR711523
14 P M Gilmer, Classical knot and link concordance, Comment. Math. Helv. 68 (1993) 1 MR1201199
15 P M Gilmer, C Livingston, On surgery curves for genus one slice knots, to appear in Pacific Journal of Mathematics arXiv:1109.1518
16 C M Gordon, R A Litherland, On the signature of a link, Invent. Math. 47 (1978) 53 MR0500905
17 M Hedden, P Kirk, Instantons, concordance, and Whitehead doubling, J. Differential Geom. 91 (2012) 281 MR2971290
18 M Hedden, C Livingston, D Ruberman, Topologically slice knots with nontrivial Alexander polynomial, Adv. Math. 231 (2012) 913 MR2955197
19 M Hirasawa, M Teragaito, Crosscap numbers of $2$–bridge knots, Topology 45 (2006) 513 MR2218754
20 K Ichihara, S Mizushima, Crosscap numbers of pretzel knots, Topology Appl. 157 (2010) 193 MR2556097
21 L H Kauffman, On knots, Annals of Mathematics Studies 115, Princeton Univ. Press (1987) MR907872
22 A Kawauchi, Rational-slice knots via strongly negative-amphicheiral knots, Commun. Math. Res. 25 (2009) 177 MR2554510
23 C Kearton, Cobordism of knots and Blanchfield duality, J. London Math. Soc. 10 (1975) 406 MR0385873
24 R Kirby, $4$–manifold problems, from: "Four-manifold theory" (editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math. Soc. (1984) 513 MR780598
25 R Kirby, Problems in low-dimensional topology, from: "Geometric topology" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
26 J Levine, Invariants of knot cobordism, Invent. Math. 8 (1969) 98 MR0253348
27 J Levine, Knot cobordism groups in codimension two, Comment. Math. Helv. 44 (1969) 229 MR0246314
28 W B R Lickorish, An introduction to knot theory, Graduate Texts in Mathematics 175, Springer (1997) MR1472978
29 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
30 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
31 W H Meeks III, Representing codimension-one homology classes on closed nonorientable manifolds by submanifolds, Illinois J. Math. 23 (1979) 199 MR528557
32 H Murakami, A Yasuhara, Crosscap number of a knot, Pacific J. Math. 171 (1995) 261 MR1362987
33 K Murasugi, The Arf invariant for knot types, Proc. Amer. Math. Soc. 21 (1969) 69 MR0238301
34 P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
35 T M Price, Homeomorphisms of quaternion space and projective planes in four space, J. Austral. Math. Soc. Ser. A 23 (1977) 112 MR0436151
36 J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003)
37 L P Roberts, Some bounds for the knot Floer $\tau$–invariant of satellite knots, Algebr. Geom. Topol. 12 (2012) 449 MR2916283
38 D Rolfsen, Knots and links, Mathematics Lecture Series 7, Publish or Perish (1990) MR1277811
39 M Teragaito, Creating Klein bottles by surgery on knots, J. Knot Theory Ramifications 10 (2001) 781 MR1839702
40 M Teragaito, Crosscap numbers of torus knots, Topology Appl. 138 (2004) 219 MR2035482