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Book Information

Author(s): Dusa McDuff and Dietmar Salamon
Title: $J$

-holomorphic curves and quantum cohomology
Additional book information: University Lecture Series, vol. 6, Amer. Math. Soc., Providence, RI, 1994, vii+207, ISBN 0-8218-0332-8

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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

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

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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ISSN 1088-9485(e) ISSN 0273-0979(p)

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