|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
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:
- [1]
- R. Bott, Morse theory indomitable, Publ. Math. Inst. Hautes \'Etudes Sci. (1988), 99--114.
- [2]
- K.-C. Chang, Infinite dimensional Morse theory and multiple solution problems, Birkh\"auser, Basel and Boston, MA, 1993.
- [3]
- C. Conley, Isolated invariant sets and Morse index, CBMS Regional Conf. Ser. in Math., vol. 38, Amer. Math. Soc., Providence, RI, 1978.
- [4]
- C. Conley and E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold, Invent. Math. \textbf{73} (1983), 33--49.
- [5]
- A. Floer, A relative index for the symplectic action, Comm. Pure Appl. Math. \textbf{41} (1988), 393--407.
- [6]
- A. Floer, Cuplength estimates on Lagrangian intersections, Comm. Pure Appl. Math. \textbf{42} (1989), 335--356.
- [7]
- A. Floer, An instanton invariant for $3$-manifolds, Comm. Math. Phys. \textbf{118} (1988), 215--240.
- [8]
- A. Floer, Morse theory for Lagrangian intersection theory, J. Differential Geom. \textbf{18} (1988), 513--517.
- [9]
- A. Floer, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. \textbf{120} (1989), 576--611.
- [10]
- A. Floer, The unregularised gradient flow of the symplectic action, Comm. Pure Appl. Math. \textbf{41} (1988), 775--813.
- [11]
- A. Floer, Witten{\rm '}s complex and infinite dimensional Morse theory, J. Differential Geom. \textbf{30} (1989), 207--221.
- [12]
- J. Franks, Morse-Smale flows and homotopy theory, Topology \textbf{18} (1979), 199--215.
- [13]
- M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. \textbf{82} (1985), 307--347.
- [14]
- J. Milnor, Lectures on the h-cobordism theorem, Princeton Univ. Press, Princeton, NJ, 1965.
- [15]
- J. Milnor, Morse theory, Ann. of Math. Stud., vol. 51, Princeton Univ. Press, Princeton, NJ, 1963.
- [16]
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. \textbf{73} (1967), 747--817.
- [17]
- S. Smale, On gradient dynamical systems, Ann. of Math. \textbf{74} (1961), 199--206.
- [18]
- R. Thom, Sur une partition en cellules associ\'es \`a une fonction sur une vari\'et\'e, C. R. Acad. Sci. Paris S\'er. I Math. \textbf{228} (1949), 973--975.
- [19]
- E. Witten, Supersymmetry and Morse theory, J. Differential Geom. \textbf{17} (1982), 661--692.
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
|
Comments: webmaster@ams.org