Generic immersions of curves, knots, monodry and Gordian number

Norbert A'Campo

Publications Mathématiques de l'IHÉS (1998)

  • Volume: 88, page 151-169
  • ISSN: 0073-8301

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A'Campo, Norbert. "Generic immersions of curves, knots, monodry and Gordian number." Publications Mathématiques de l'IHÉS 88 (1998): 151-169. <http://eudml.org/doc/104134>.

@article{ACampo1998,
author = {A'Campo, Norbert},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {fibered link; plane curve},
language = {eng},
pages = {151-169},
publisher = {Institut des Hautes Études Scientifiques},
title = {Generic immersions of curves, knots, monodry and Gordian number},
url = {http://eudml.org/doc/104134},
volume = {88},
year = {1998},
}

TY - JOUR
AU - A'Campo, Norbert
TI - Generic immersions of curves, knots, monodry and Gordian number
JO - Publications Mathématiques de l'IHÉS
PY - 1998
PB - Institut des Hautes Études Scientifiques
VL - 88
SP - 151
EP - 169
LA - eng
KW - fibered link; plane curve
UR - http://eudml.org/doc/104134
ER -

References

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  1. [AC1] Norbert A'CAMPO, Le Groupe de Monodromie du Déploiement des Singularités Isolées de Courbes Planes I, Math. Ann. 213 (1975), 1, 1-32. Zbl0316.14011MR51 #13282
  2. [AC2] Norbert A'CAMPO, Le Groupe de Monodromie du Déploiement des Singularités Isolées de Courbes Planes II, Actes du Congrès International des Mathématiciens, tome 1, 395-404, Vancouver, 1974. Zbl0352.14011
  3. [AC3] Norbert A'CAMPO, Real deformations and complex topology of plane curve singularities, Annales de la Faculté des Sciences de Toulouse, 8 (1999), 1, 5-23. Zbl0962.32025MR2001d:32043a
  4. [E] Y. ELIASHBERG, Legendrian and transversal knots in tight contact 3-manifolds, Topological methods in Modern Mathematics - Proc. of a Symposium in honor of John Milnor's 60th Birthday, L. R. Goldberg & A. V. Philips (Eds), 171-194, Publish or Perish, 1993. Zbl0809.53033MR94e:57005
  5. [G] Emmanuel GIROUX, Topologie de contact en dimension 3, Séminaire Bourbaki, exposée n° 760, Astérisque 216, Soc. Math. de France, 1992. Zbl0793.53037
  6. [G-Z] S. M. GUSEIN-ZADE, Matrices d'intersections pour certaines singularités de fonctions de 2 variables, Funkcional. Anal. i Prilozen 8 (1974), 11-15. Zbl0304.14009MR49 #3202
  7. [H-Z] Helmut HOFER, Eduard ZEHNDER, Symplectic invariants and Hamiltonian dynamics, Birkhauser Advanced Texts, Basel, 1994. Zbl0805.58003
  8. [Kaw] Tomomi KAWAMURA, The unknotting numbers of 10139 and 10152 are 4, Osaka J. Math. 35 (1998), 3, 539-546. Zbl0909.57003
  9. [Ka] Akio KAWAUCHI, A Survey of Knot Theory, Birkhauser, Basel, 1996. Zbl0861.57001
  10. [K1] Peter. B. KRONHEIMER, Embedded surfaces in 4-manifolds, Proceedings of the International Congress of Mathematicians, tome 1, 529-539, Kyoto, 1990. Zbl0746.53041
  11. [K2] P. B. KRONHEIMER, The genus-minimizing property of algebraic curves, Bull. Amer. Math. Soc. 29 (1993), 1, 63-69. Zbl0810.57014MR94b:57037
  12. [K-M1] P. B. KRONHEIMER, T. S. MROWKA, Gauge theory for embedded surfaces. I, Topology 32 (1993), 4, 773-826. Zbl0799.57007MR94k:57048
  13. [K-M2] P. B. KRONHEIMER, T. S. MROWKA, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994), 6, 797-808. Zbl0851.57023MR96a:57073
  14. [K-M3] P. B. KRONHEIMER, T. S. MROWKA, Gauge theory for embedded surfaces. II, Topology 34 (1995), 1, 37-97. Zbl0832.57011MR96b:57038
  15. [K-M4] P. B. KRONHEIMER, T. S. MROWKA, Embedded surfaces and the structure of Donaldson's polynomial invariants, J. Differential Geom. 41 (1995), 3, 573-734. Zbl0842.57022MR96e:57019
  16. [K-M5] P. B. KRONHEIMER, T. S. MROWKA, Monopoles and contact structures, Invent. Math. 130 (1997), 2, 209-255. Zbl0892.53015MR98h:57058
  17. [K3] P. B. KRONHEIMER, Embedded surfaces and gauge theory in three and four dimensions, ftp://www.math.harvard.edu/kronheimer, Harvard University, 1997. 
  18. [M] J. MILNOR, Singular Points on Complex Hypersurfaces, Ann. of Math. Studies 61, Princeton University Press, Princeton, 1968. Zbl0184.48405MR39 #969
  19. [P] H. PINKHAM, On the Überschneidungszahl of algebraic knots, Preprint, 1974. 
  20. [T] T. TANAKA, Unknotting numbers of quasipositive knots, Topology and its Applications, 88 (1998), 3, 239-246. Zbl0928.57007MR99g:57014
  21. [Ta] Clifford Henry TAUBES, The Seiberg-Witten invariants and symplectic forms, Math. Res. Lett. 1 (1994), 6, 809-822. Zbl0853.57019MR95j:57039
  22. [To] Guillermo TORRES, On the Alexander polynomial, Ann. of Math. 57 (1953), 1, 57-89. Zbl0050.17903MR14,574a
  23. [W] H. WENDT, Die gordische Auflösung von Knoten, Math. Z. 42 (1937), 680-696. Zbl0016.42005JFM63.0552.03

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