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Book Review
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Book Information
Author(s):
Akio Kawauchi
Title:
A survey of knot theory
Additional book information:
Birkhäuser-Verlag,
Basel, Boston, and Berlin,
1996,
xxi+420,
$89.50,
3-7643-5124-1
References:
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- 2.
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- 3.
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- 4.
- E. Artin, Theorie der zopfe, Hamburg Abh., Vol. 4 (1926), pp. 539-549.
- 5.
- C. W. Ashley, The Ashley Book of Knots, Doubleday and Co. (1944).
- 6.
- M. Ascher and R. Ascher, Code of the Quipu, University of Michigan Press, Ann Arbor (1981). MR 83h:01007
- 7.
- M.F. Atiyah, The Geometry and Physics of Knots, (1990), Cambridge University Press. MR 92b:57008
- 8.
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- 9.
- A. J. Casson and C. McA. Gordon, On slice knots in dimension three, In: Algebraic and Geometric Topology (Stanford 1976), pp. 39-53, Proc. Sympos. Pure Math., 32-II, (edited by J. Milgram), Amer. Math. Soc. (1983). MR 81g:57003
- 10.
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- J. H. Conway and C. McA Gordon, Knots and links in spatial graphs, J. Graph Theory, Vol. 7 (1983), No. 4, pp. 445-453. MR 85d:57002
- 12.
- R. H. Crowell and R. H. Fox, Introduction to Knot Theory, New York: Ginn and Co. (1963), or: Grad. Texts Math. 57, Berlin-Heidelberg-New York: Springer Verlag (1977). MR 26:4348; MR 56:3829
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- R. H. Fox., A quick trip through knot theory, In Topology of Three Manifolds - Proceedings of 1961 Topology Institute at Univ. of Georgia, edited by M. K. Fort, pp. 120-167. Englewood Cliffs, N. J. : Prentice-Hall. MR 25:3522
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- K. F. Gauss, Gauss Werke - 1833, K
niglichen Gesellschaft der Wissenshaften zu G ttingen (1877). p. 605. - 20.
- C. A. Giller, A family of links and the Conway calculus, Trans. Amer. Math. Soc., Vol. 270, (1982), pp. 539-549. MR 83j:57001
- 21.
- R. Hartley, The Conway potential function for links, Comment. Math. Helv., Vol. 58, (1983), pp. 539-549. MR 85h:57006
- 22.
- V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc., Vol. 12 (1985), pp. 539-549. MR 86e:57006
- 23.
- L. H. Kauffman, Branched coverings, open books and knot periodicity, Topology, Vol. 13 (1974), pp. 539-549. MR 51:11532
- 24.
- L. H. Kauffman and W. D. Neumann, Products of knots, branched fibrations and sums of singularities. Topology, Vol. 16 (1977), pp. 539-549. MR 58:7644
- 25.
- L. H. Kauffman, The Conway Polynomial, Topology, Vol. 20 (1981), pp. 539-549. MR 81m:57004
- 26.
- L. H. Kauffman, Formal Knot Theory, Mathematical Notes No. 30 (1983), Princeton University Press. MR 85b:57006
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- L. H. Kauffman, State models and the Jones polynomial, Topology, Vol. 26 (1987), pp. 539-549. MR 88f:57006
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- L. H. Kauffman On Knots, Ann. of Math. Studies, Vol. 115, Princeton University Press (1987). MR 89c:57005
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, Invent. Math., Vol. 45 (1978), pp. 539-549. MR 57:7605 - 31.
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ber die freie aquivalenz geschlossener zopfe, Recueil Mathematique Moscou, Vol. 1, pp. 73-78. - 33.
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- 38.
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- 39.
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Additional Information:
Reviewer(s):
Louis
H.
Kauffman
Affiliation:
University of Illinois at Chicago
Email:
kauffman@uic.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
36
(1999),
539-549.
MSC
(1991):
Primary 57M25
DOI:
10.1090/S0273-0979-99-00797-1
PII:
S 0273-0979(99)00797-1
Posted:
July 29, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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