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Book Review
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Book Information
Author(s):
M. Schwarz
Title:
Morse homology
Additional book information:
Progress in Mathematics, vol. 111, Birkh\"auser Verlag, Basel and Boston, MA, 1993, ix+235 pp., US$49.50. ISBN 3-7643- 2904-1
References:
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- [1]
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- [2]
- K.-C. Chang, Infinite dimensional Morse theory and multiple solution problems, Birkhäuser, Basel and Boston, MA, 1993. MR 1196690 (94e:58023)
- [3]
- C. Conley, Isolated invariant sets and Morse index, CBMS Regional Conf. Ser. in Math., vol. 38, Amer. Math. Soc., Providence, RI, 1978. MR 511133 (80c:58009)
- [4]
- C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold, Invent. Math. 73 (1983), 33-49. MR 707347 (85e:58044)
- [5]
- A. Floer, A relative index for the symplectic action, Comm. Pure Appl. Math. 41 (1988), 393-407. MR 933228 (89f:58055)
- [6]
- -, Cuplength estimates on Lagrangian intersections, Comm. Pure Appl. Math. 42 (1989), 335-356. MR 990135 (90g:58034)
- [7]
- -, An instanton invariant for 3-manifolds, Comm. Math. Phys. 118 (1988), 215-240. MR 956166 (89k:57028)
- [8]
- -, Morse theory for Lagrangian intersection theory, J. Differential Geom. 18 (1988), 513-517. MR 965228 (90f:58058)
- [9]
- -, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. 120 (1989), 576-611. MR 987770 (90e:58047)
- [10]
- -, The unregularised gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988), 775-813. MR 948771 (89g:58065)
- [11]
- -, Witten's complex and infinite dimensional Morse theory, J. Differential Geom. 30 (1989), 207-221. MR 1001276 (90d:58029)
- [12]
- J. Franks, Morse-Smale flows and homotopy theory, Topology 18 (1979), 199-215. MR 546790 (80k:58063)
- [13]
- M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347. MR 809718 (87j:53053)
- [14]
- J. Milnor, Lectures on the h-cobordism theorem, Princeton Univ. Press, Princeton, NJ, 1965. MR 0190942 (32:8352)
- [15]
- -, Morse theory, Ann. of Math. Stud., vol. 51, Princeton Univ. Press, Princeton, NJ, 1963.
- [16]
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. MR 0228014 (37:3598)
- [17]
- -, On gradient dynamical systems, Ann. of Math. 74 (1961), 199-206. MR 0133139 (24:A2973)
- [18]
- R. Thom, Sur une partition en cellules associés à une fonction sur une variété, C. R. Acad. Sci. Paris Sér. I Math. 228 (1949), 973-975. MR 0029160 (10:558b)
- [19]
- E. Witten, Supersymmetry and Morse theory, J. Differential Geom. 17 (1982), 661-692. MR 683171 (84b:58111)
Additional Information:
Reviewer(s):
Helmut
Hofer
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
330-334.
DOI:
10.1090/S0273-0979-1995-00591-4
PII:
S 0273-0979(1995)00591-4
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