1 |
Y. Mathieu, Closed 3-manifolds unchanged by Dehn surgery, J. Knot Theory Ramifications 1 (1992), no. 3, 279-296. https://doi.org/10.1142/S0218216592000161
DOI
|
2 |
P. Ozsvath and Z. Szabo, Lectures on Heegaard Floer homology, in Floer homology, gauge theory, and low-dimensional topology, 29-70, Clay Math. Proc., 5, Amer. Math. Soc., Providence, RI, 2006.
|
3 |
S. A. Bleiler, C. D. Hodgson, and J. R. Weeks, Cosmetic surgery on knots, in Proceedings of the Kirbyfest (Berkeley, CA, 1998), 23-34, Geom. Topol. Monogr., 2, Geom. Topol. Publ., Coventry, 1999. https://doi.org/10.2140/gtm.1999.2.23
|
4 |
A. Christensen, Homology of manifolds obtained by Dehn surgery on knots in lens spaces, J. Knot Theory Ramifications 9 (2000), no. 4, 431-442. https://doi.org/10.1142/S0218216500000219
DOI
|
5 |
M. Culler, C. M. Gordon, J. Luecke, and P. B. Shalen, Dehn surgery on knots, Ann. of Math. (2) 125 (1987), no. 2, 237-300. https://doi.org/10.2307/1971311
DOI
|
6 |
K. Ichihara and I. D. Jong, Cosmetic banding on knots and links, Osaka J. Math. 55 (2018), no. 4, 731-745. https://projecteuclid.org/euclid.ojm/1539158668
|
7 |
M. Lackenby and R. Meyerhoff, The maximal number of exceptional Dehn surgeries, Invent. Math. 191 (2013), no. 2, 341-382. https://doi.org/10.1007/s00222-012-0395-2
DOI
|
8 |
F. Gainullin, Heegaard Floer homology and knots determined by their complements, Algebr. Geom. Topol. 18 (2018), no. 1, 69-109. https://doi.org/10.2140/agt.2018.18.69
DOI
|
9 |
Y. W. Rong, Some knots not determined by their complements, in Quantum topology, 339-353, Ser. Knots Everything, 3, World Sci. Publ., River Edge, NJ, 1993. https://doi.org/10.1142/9789812796387_0019
DOI
|
10 |
S. Boyer and X. Zhang, Finite Dehn surgery on knots, J. Amer. Math. Soc. 9 (1996), no. 4, 1005-1050. https://doi.org/10.1090/S0894-0347-96-00201-9
DOI
|
11 |
C. McA. Gordon, Dehn surgery on knots, in Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 631-642, Math. Soc. Japan, Tokyo, 1991.
|
12 |
C. McA. Gordon and J. Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989), no. 2, 371-415. https://doi.org/10.2307/1990979
DOI
|
13 |
E. Luft and D. Sjerve, Degree-1 maps into lens spaces and free cyclic actions on homology 3-spheres, Topology Appl. 37 (1990), no. 2, 131-136. https://doi.org/10.1016/0166-8641(90)90057-9
DOI
|
14 |
C. R. Guilbault, Homology lens spaces and Dehn surgery on homology spheres, Fund. Math. 144 (1994), no. 3, 287-292.
DOI
|
15 |
T. Ito, Applications of the Casson-Walker invariant to the knot complement and the cosmetic crossing conjectures, preprint, arXiv:2103.15277.
|
16 |
R. Kirby, Problems in low-dimensional topology, in Geometric topology (Athens, GA, 1993), 35-473, AMS/IP Stud. Adv. Math., 2.2, Amer. Math. Soc., Providence, RI, 1997.
|
17 |
Y. Mathieu, Sur les noeuds qui ne sont pas determines par leur complement et problemes de chirurgie dans les varietes de dimension 3, These, L'Universite de Provence, 1990.
|
18 |
D. Matignon, On the knot complement problem for non-hyperbolic knots, Topology Appl. 157 (2010), no. 12, 1900-1925. https://doi.org/10.1016/j.topol.2010.03.009
DOI
|
19 |
H. Tietze, Uber die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten, Monatsh. Math. Phys. 19 (1908), no. 1, 1-118. https://doi.org/10.1007/BF01736688
DOI
|