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Diagrams of divide links
Author(s):
Sergei
Chmutov
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1623-1627.
MSC (2000):
Primary 57M25
Posted:
October 15, 2002
MathSciNet review:
1950295
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Abstract:
Recently N. A'Campo suggested a construction of a link from a generic immersion of a curve into a 2-disk. It is tightly related to the singularity theory. In this paper, we give a simple procedure to draw a diagram of the link from a picture of the curve.
References:
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- 1.
- N. A'Campo, Le groupe de monodromie du déploiement des singularités isolées de courbes planes I, Math. Ann., 213 (1975) 1-32. MR 51:13282
- 2.
- N. A'Campo, Real deformations and complex topology of plane curve singularities, Ann. Fac. Sci. Toulouse Math. (6) 8 (1999), no. 1, 5-23 (see also alg-geom/9710023). MR 2001d:32043a
- 3.
- N. A'Campo, Generic immersions of curves, knots, monodromy and gordian number, Inst. Hautes Etudes Sci. Publ. Math. No. 88 (1998), 151-169 (1999) (see also math.GT/9803081). MR 2001b:57009
- 4.
- N. A'Campo, Private communication, January, 2001.
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- 6.
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- O. Couture, B. Perron, Representative braids for links associated to plane immersed curves, Journal of Knot Theory and Its Ramifications, 9 (2000) 1-30. MR 2001b:57012
- 9.
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Additional Information:
Sergei
Chmutov
Affiliation:
Department of Mathematics, The Ohio State University at Mansfield, 1680 University Drive, Mansfield, Ohio 44906
Email:
chmutov@math.ohio-state.edu
DOI:
10.1090/S0002-9939-02-06770-9
PII:
S 0002-9939(02)06770-9
Keywords:
Links,
fibered links,
link diagram,
divide.
Received by editor(s):
November 19, 2001
Received by editor(s) in revised form:
December 17, 2001
Posted:
October 15, 2002
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2002,
American Mathematical Society
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