Skip to main content
Log in

An obstruction to sliceness via contact geometry and “classical” gauge theory

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. D. Bennequin: Entrelacements et équations de Pfaff. Astérisque108–8 (1983) 87–161

    Google Scholar 

  2. Ž. Bižaca: A family of exotic Casson handles, to appear Proc. A.M.S.

  3. M. Boileau, L. Rudolph, Plombage et structures de contact (in preparation)

  4. S. Donaldson: Complex curves and surgery. Inst. Hautes Études Sci. Publ. Math.68 (1988) (1989) 91–97.

    Google Scholar 

  5. Y. Eliashberg: Legendrian and transversal knots in tight contact 3-manifolds (preprint 1991)

  6. Y. Eliashberg: Classification of overtwisted contact structures on 3-manifolds. Invent. Math.98 (1989) 623–637

    Google Scholar 

  7. T. Erlandsson: Geometry of contact transformations in dimension three. Ph. D. Thesis, Uppsala, 1981

  8. P. Kronheimer, T. Mrowka: Gauge theory for embedded surfaces. I. Topology32 (1993) 773–826

    Google Scholar 

  9. N. Kuhn: A conjectural inequality on the slice genus of links. Ph. D. Thesis, Princeton University, 1984

  10. H. Lyon: Torus knots in the complements of links and surfaces. Mich. Math. J.27 (1980) 39–46

    Google Scholar 

  11. W. Menasco: A proof of the Bennequin-Milnor unknotting conjecture (preprint 1993)

  12. J. Milnor: Morse Theory, Annals of Mathematics Studies, Number 51, Princeton University Press, Princeton, N. J. 1969

    Google Scholar 

  13. L. Rudolph: Braided surfaces and Seifert ribbons for closed braids. Comm. Math. Hel.58 (1983) 1–37

    Google Scholar 

  14. L. Rudolph: Constructions of quasipositive knots and links, II, Four-Manifold Theory (Contemp. Math. 35; C. Gordon and R. Kirby, eds.), AMS, 1984, pp. 485–491

  15. L. Rudolph: A congruence between link polynomials, Math. Proc. Camb. Phil. Soc.107 (1990)

  16. L. Rudolph:A characterization of quasipositive Seifert surfaces (Constructions of quasipositive knots and links, III). Topology31 (1992) 231–237

    Google Scholar 

  17. L. Rudolph: Quasipositive annuli (Constructions of quasipositive knots and links, IV), J. Knot Theory Ramif.1 (1992) 451–466.

    Google Scholar 

  18. L. Rudolph: Totally tangential links of intersection of complex plane curves with round spheres, Topology'90 (B. Apanasov et al., eds.), de Gruyter, 1992, pp. 343–349

  19. L. Rudolph:Quasipositivity as an obstruction to sliceness. Bull. Am. Math. Soc.29 (1993) 51–59

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Oblatum IX-1993 & 26-IV-1994

Research partially supported by CNRS.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rudolph, L. An obstruction to sliceness via contact geometry and “classical” gauge theory. Invent Math 119, 155–163 (1995). https://doi.org/10.1007/BF01245177

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01245177

Keywords

Navigation