Book Review
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Book Information:
Authors:
Burak Ozbagci and
András I. Stipsicz
Title:
Surgery on contact 3-manifolds and Stein surfaces
Additional book information:
Springer-Verlag,
Berlin; János Bolyai Mathematical Society, Budapest,
2004,
281 pp.,
ISBN 3-540-22944-2,
US$89.95$;
ISBN 963-9453-03-X
Daniel Bennequin, Entrelacements et équations de Pfaff, Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982) Astérisque, vol. 107, Soc. Math. France, Paris, 1983, pp. 87–161 (French). MR 753131
Yakov Eliashberg, Contact $3$-manifolds twenty years since J. Martinet’s work, Ann. Inst. Fourier (Grenoble) 42 (1992), no. 1-2, 165–192 (English, with French summary). MR 1162559
Emmanuel Giroux, Géométrie de contact: de la dimension trois vers les dimensions supérieures, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002) Higher Ed. Press, Beijing, 2002, pp. 405–414 (French, with French summary). MR 1957051
M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347. MR 809718, DOI 10.1007/BF01388806
Peter Ozsváth and Zoltán Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. (2) 159 (2004), no. 3, 1027–1158. MR 2113019, DOI 10.4007/annals.2004.159.1027
- 1.
- D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107-108 (1983), 87-161. MR 0753131
- 2.
- Y. Eliashberg, Contact 3-manifolds twenty years since J. Martinet's work, Ann. Inst. Fourier 42 (1992), 165-192. MR 1162559
- 3.
- E. Giroux, Géométrie de contact: de la dimension trois vers les dimensions supérieures, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 405-414, Higher Ed. Press, Beijing, 2002. MR 1957051
- 4.
- M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347. MR 0809718
- 5.
- P. Ozsváth and Z. Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. (2) 159 (2004), no. 3, 1027-1158. MR 2113019
Review Information:
Reviewer:
John B. Etnyre
Affiliation:
Georgia Institute of Technology
Email:
etnyre@math.gatech.edu
Journal:
Bull. Amer. Math. Soc.
43 (2006), 429-434
Published electronically:
April 19, 2006
Review copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
