Generic immersions of curves, knots, monodry and Gordian number

 Access to full text

 Full (PDF)

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

1. Norbert A'Campo, Real deformations and complex topology of plane curve singularities
2. Norbert A'Campo, Planar trees, slalom curves and hyperbolic knots
3. Cam Van Quach Hongler, Claude Weber, The link of an extrovert divide
4. Alexander Stoimenow, Positive knots, closed braids and the Jones polynomial