Real singularities and open-book decompositions of the 3-sphere

Anne Pichon; José Seade

Annales de la Faculté des sciences de Toulouse : Mathématiques (2003)

  • Volume: 12, Issue: 2, page 245-265
  • ISSN: 0240-2963

How to cite

top

Pichon, Anne, and Seade, José. "Real singularities and open-book decompositions of the 3-sphere." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.2 (2003): 245-265. <http://eudml.org/doc/73603>.

@article{Pichon2003,
author = {Pichon, Anne, Seade, José},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {real singularities; Milnor fibration; link of the singularity; Seifert fibration},
language = {eng},
number = {2},
pages = {245-265},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Real singularities and open-book decompositions of the 3-sphere},
url = {http://eudml.org/doc/73603},
volume = {12},
year = {2003},
}

TY - JOUR
AU - Pichon, Anne
AU - Seade, José
TI - Real singularities and open-book decompositions of the 3-sphere
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2003
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 12
IS - 2
SP - 245
EP - 265
LA - eng
KW - real singularities; Milnor fibration; link of the singularity; Seifert fibration
UR - http://eudml.org/doc/73603
ER -

References

top
  1. [Br] Brauner ( K.). - Zur Geometrie der Funkyionen zweier komplexen Vernderlichen III, IVAbh. Math. Sem. Hamburg6, p. 8-54 (1928). 
  2. [Du] Durfee ( A. ). - Fibred knots and algebraic singularities , Topology13, p. 47-59 (1974). Zbl0275.57007MR336750
  3. [EN] Eisenbud ( D. ) et Neumann ( W.). — Three dimensional link theory and invariants of plane curves singularities, Annals of Math. Studies, Princeton University Press 110, (1985). Zbl0628.57002MR817982
  4. [Ja] Jaco ( W.). - Lectures on three-manifold topology, vol. 43, A. M. S., CBMS Regional Conference Series in Mathematics, (1980). Zbl0433.57001MR565450
  5. [Jq] Jaquemard ( A.). - Fibrations de Milnor pour des applications réelles, Boll. Un. Mat. Ital.3-B, p. 591-600 (1989) . Zbl0729.55011MR1010525
  6. [JN] Jankins ( M.J. ) and Neumann ( W.D.). - Lectures on Seifert manifolds , Brandeis Univ. Lecture Notes vol. 2, (1983). MR741334
  7. [La] Lawson Jr.( B.). - Codimension-one foliations of spheres , Ann. of Maths.94, p. 494-503 (1971) . Zbl0236.57014MR287570
  8. [LMW] Lê ( D.T. ), Michel ( F.) and Weber ( C.). — Courbes polaires et topologie des courbes planes, Ann. Sci. École Norm. Sup.24, p. 141-169 (1991). MR1097689
  9. [Mil] Milnor ( J.). - Singular points of complex hypersurfaces , Ann. of Math. Studies61, Princeton Univ. Press, (1968). Zbl0184.48405MR239612
  10. [Mi2] Milnor ( J.).— On the 3-dimensional Brieskorn manifolds M(p, q, r in "Knots, groups, and 3-manifolds" (Papers dedicated to the memory of R. H. Fox), edited by L. P. Neuwirth. 175-225Ann. of Math. Studies84, Princeton Univ. Press, (1971). Zbl0305.57003MR418127
  11. [Ne1] Neumann ( W.D.). - A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves , Trans. Amer. Math. Soc.268-2, p. 299-344 (1981). Zbl0546.57002MR632532
  12. [Ne2] Neumann ( W.D.). — Geometry of quasihomogeneous surface singularities, Proc. Symp. Pure Maths. A. M. S.40-2, p. 245-258 (1981). Zbl0519.32011MR713253
  13. [Ni] Nielsen ( J.). - Surface transformation classes of algebraically finite type, Mat.-Fys. Medd. Danske Vid. Selsk.21, (1994). Zbl0063.05952MR15791
  14. [NR] Nonato ( R. ) and Ruas ( M.A.). - Real Milnor Fibrations and (c)-Regularity , Preprint 2002, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo in São Carlos MR1634423
  15. [Pi] Pichon ( A. ). - Fibrations sur le cercle et surfaces complexes , Ann. Inst. Fourier, Grenoble51, p. 337-374 (2001). Zbl0971.32013MR1824957
  16. [Pi2] Pichon ( A. ). — Milnor fibrations associated with real analytic germs fg, preprint, (2003). 
  17. [Ra] Ranicki ( A. ). - High-dimensional knot theory, Springer Verlag Monographs in Mathematics, (1998). Zbl0910.57001MR1713074
  18. [Ro] Rolfsen ( D.). — Knots and Links, Publish or Perish, Inc, Math. Lect. Series, (1976). Zbl0339.55004MR515288
  19. [RSV] Ruas ( MA.) , Seade ( J.) and Verjovsky ( A.)Real singularities with a Milnor fibration, to appear in "Trends in Singularities" , edited by A. Libgober and M. Tibar Birkhauser. Zbl1020.32027MR1900787
  20. [S1] Seade ( J. ). - Fibred links and a construction of real singularities via complex geometry, Boletim Soc. Bras. Matem.27, p. 199-215 (1996). Zbl0881.32019MR1418933
  21. [S2] Seade ( J. ). — Open book decompositions associated to holomorphic vector fields, Boletin Soc. Mat. Mex.3, New Series p. 323-336 (1997). Zbl0894.57024MR1679312
  22. [Wi] Winkelnkemper ( H.E.). — Manifolds as open books, Bull. A. M. S.79, p. 45-51 (1973). Zbl0269.57011MR310912
  23. [Wa] Waldhausen ( F.). - Eine klasse von 3-dimensionalen Mannifaltigkeiten II, Invent. Math.4, p. 97-117 (1967). Zbl0168.44503MR235576

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.