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Book Review
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Book Information
Author(s):
Dusa McDuff and Dietmar Salamon
Title:
 -holomorphic curves and quantum cohomology
Additional book information:
University Lecture Series, vol. 6, Amer. Math. Soc.,
Providence, RI,
1994,
vii+207,
0-8218-0332-8
References:
- 1.
- M. Atiyah, New invariants of three and four-dimensional manifolds, The Mathematical Heritage of H. Weyl (R. Wells, ed.), Proc. Sympos. Pure Math., vol. 48, Amer. Math. Soc., Providence, RI, 1988. MR 89m:57034
- 2.
- M. Audin, Cohomologie quantique, Séminaire Bourbaki, no. 806, 1995--96.
- 3.
- M. Audin and J. Lafontaine (eds.), Holomorphic curves in symplectic geometry, Progress in Math., vol. 117, Birkhäuser, Basel and Boston, MA, 1994. MR 95i:58005
- 4.
- L. Baulieu and I. M. Singer, The topological sigma model, Commun. Math. Phys. 125 (1989), 227--237. MR 91b:81153
- 5.
- R. P. Feynman and A. R. Hibbs, Quantum mechanics and paths integrals, McGraw-Hill, New York, 1965.
- 6.
- A. Floer, Symplectic fixed points and holomorphic spheres, Commun. Math. Phys. 120 (1989), 575--611. MR 90e:58047
- 7.
- M. Gromov, Pseudo-holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307--347. MR 87j:53053
- 8.
- H. Hofer and D. Salamon, Floer homology and Novikov rings, preprint 1993.
- 9.
- F. Lalonde and D. McDuff,
 -curves and the classification of rational and ruled symplectic 4-manifolds (Proc. Symplectic Topology Program, Newton Institute), Cambridge Univ. Press, to appear. - 10.
- S. Piunikhin, D. Salamon, and M. Schwarz, Symplectic Floer-Donaldson theory and quantum cohomology, preprint 1995.
- 11.
- Y. Ruan, Topological sigma model and Donaldson type invariants in Gromov theory, preprint 1993.
- 12.
- Y. Ruan and G. Tian, A mathematical theory of quantum cohomology, J. Differential Geom., to appear.
- 13.
- C. Taubes, The Seiberg-Witten and the Gromov invariants, preprint 1995.
- 14.
- E. Witten, Topological sigma models, Commun. Math. Phys. 118 (1988), 411--449. MR 90b:81080
- 15.
- ------, Two-dimensional gravity and intersection theory on moduli space, Surveys Differential Geom. 1 (1991), 243--310. MR 93e:32028
- 16.
- S. T. Yau (ed.), Mathematical aspects of string theory, Adv. Ser. Math. Phys., vol. 1, World Scientific, Singapore, 1986. MR 89m:81001
Additional Information:
Reviewer(s):
François
Lalonde
Affiliation:
Université du Québec à Montréal - Centre de Recherches Mathématiques (Université de Montréal)
Email:
flalonde@math.uqam.ca, lalonde@crm.umontreal.ca
Review Information:
Journal:
Bull. Amer. Math. Soc.
33
(1996),
385-394.
MSC
(1991):
Primary 53C15;
Secondary 81T20
DOI:
10.1090/S0273-0979-96-00668-4
PII:
S 0273-0979(96)00668-4
Copyright of article:
Copyright
1996,
American Mathematical Society
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