Contact topology and the structure of 5-manifolds with π1 = Z2

Annales de l'Institut Fourier

Volumn 48, Issue 4, 1998, Pages 1167-1188

  Geiges, H ^a   Thomas, C B ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Brieskorn manifolds; Characteristic submanifold; Contact structures; Contact surgery; Involutions; Pin cobordism; Surgery

Indexed keywords

EID: 0032273606     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1653     Document Type: Article

References (19)

1. M.F. ATIYAH and R. BOTT, A Lefschetz fixed point formula for elliptic complexes : II, Applications, Ann. of Math. (2), 88 (1968), 451-491.
2. K.S. BROWN, Cohomology of Groups, Springer, 1982.
3. Y. ELIASHBERG, Topological characterization of Stein manifolds of dimension > 2, Internat. J. Math., 1 (1990), 29-46.
4. H. GEIGES, Contact structures on 1-connected 5-manifolds, Mathematika, 38 (1991), 303-311.
5. H. GEIGES, Constructions of contact manifolds, Math. Proc. Cambridge Philos. Soc., 121 (1997), 455-464.
6. H. GEIGES, Applications of contact surgery, Topology, 36 (1997), 1193-1220.
7. C.H. GIFFEN, Smooth homotopy projective spaces, Bull. Amer. Math. Soc., 75 (1969), 509-513.
8. F. HIRZEBRUCH and K.H. MAYER, O(n)-Mannigfaltigkeiten, exotische Sphären und Singularitäten, Lecture Notes in Math., 57, Springer, 1968.
9. H. HOPF, Fundamentalgruppe und zweite Bettische Gruppe, Comment. Math. Helv., 14 (1941/42), 257-309.
10. R.C. KIRBY and L.C. SIEBENMANN, Foundational Essays on Topological Manifolds, Smoothings, and Triangulations, Ann. of Math. Studies, 88, Princeton University Press, 1977.
11. R.C. KIRBY and L.R. TAYLOR, Pin structures on low-dimensional manifolds, in : Geometry of Low-Dimensional Manifolds 2, (S.K. Donaldson and C.B. Thomas, eds.), London Math. Soc. Lecture Note Ser., 151, Cambridge University Press (1990), 177-242.
12. A.A. KOSINSKI, Differential Manifolds, Academic Press, 1993.
13. S. LÓPEZ DE MEDRANO, Involutions on Manifolds, Ergeb. Math. Grenzgeb., 59, Springer, 1971.
14. R. LUTZ and C. MECKERT, Structures de contact sur certaines sphères exotiques, C. R. Acad. Sci. Paris, Sér. I, Math., 282 (1976), 591-593.
15. J. MARTINET, Formes de contact sur les variétés de dimension 3, in : Proc. Liverpool Singularities Sympos. II (C.T.C. Wall, ed.), Lecture Notes in Math., 209, Springer (1971), 142-163.
16. C.P. ROURKE and B.J. SANDERSON, Introduction to Piecewise-Linear Topology, Ergeb. Math. Grenzgeb., 69, Springer (1972).
17. C.B. THOMAS, Contact structures on (n-1)-connected (2n+1)-manifolds, Banach Center Publ., 18 (1986), 255-270.
18. C.T.C. WALL, Surgery of non-simply-connected manifolds, Ann. of Math. (2), 84 (1966), 217-276.
19. A. WEINSTEIN, Contact surgery and symplectic handlebodies, Hokkaido Math. J., 20 (1991), 241-251.