Journal of Differential Geometry

Witten's complex and infinite-dimensional Morse theory

Andreas Floer
Source: J. Differential Geom. Volume 30, Number 1 (1989), 207-221.
First Page: Show Hide
Primary Subjects: 58E05
Secondary Subjects: 58F05
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214443291
Mathematical Reviews number (MathSciNet): MR1001276
Zentralblatt MATH identifier: 0678.58012

References

[1] C. C. Conley, Isolated invariant sets and the Morse index, CBMS Regional Conf. Ser. in Math., Vol. 38, Amer. Math. Soc, Providence, RI, 1978.
Zentralblatt MATH: 0397.34056
Mathematical Reviews (MathSciNet): MR511133
[2] A. Floer, Morse theory for Lagrangian intersections, to appear.
Zentralblatt MATH: 0674.57027
Mathematical Reviews (MathSciNet): MR965228
Project Euclid: euclid.jdg/1214442477
[3] A. Floer, The unregularized gradient flow of the symplectic action, to appear.
Zentralblatt MATH: 0633.53058
Mathematical Reviews (MathSciNet): MR948771
Digital Object Identifier: doi:10.1002/cpa.3160410603
[4] R. Fransoza, Index filiations and connection matrices for partially ordered Morse decompositions, preprint.
[5] B. Helffer and J. Sjostrand, Puits multiples en mechanique semiclassique IV; etude du complexe de Witten, Comm. Partial Differential Equations 10 (1985) 245-340.
Zentralblatt MATH: 0597.35024
Mathematical Reviews (MathSciNet): MR780068
Digital Object Identifier: doi:10.1080/03605308508820379
[6] J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton University Press, Princeton, NJ, 1963.
Zentralblatt MATH: 0108.10401
Mathematical Reviews (MathSciNet): MR163331
[7] J. Milnor, Morse theory, Lectures on the H-cobordism theorem, Math. Notes, Princeton University Press, Princeton, NJ, 1965.
Zentralblatt MATH: 0108.10401
Mathematical Reviews (MathSciNet): MR190942
[8] J. Milnor and J. Stasheff, Characteristic classes, Ann. of Math. Studies, No. 76, Princeton University Press, Princeton, NJ, 1974.
Zentralblatt MATH: 0298.57008
Mathematical Reviews (MathSciNet): MR440554
[9] R. Moeckel, Morse decompositions and connection matrices, preprint, University of Minnesota-Twin Cities.
Zentralblatt MATH: 0664.58030
Mathematical Reviews (MathSciNet): MR967640
Digital Object Identifier: doi:10.1017/S0143385700009445
[10] S. Smale, Morse inequalities for dynamical systems, Bull. Amer. Math. Soc. 66 (1960), 43-49.
Zentralblatt MATH: 0100.29701
Mathematical Reviews (MathSciNet): MR117745
Digital Object Identifier: doi:10.1090/S0002-9904-1960-10386-2
Project Euclid: euclid.bams/1183523416
[11] S. Smale, On gradient dynamical systems, Ann. of Math. (2) 74 (1961), 199-206.
Zentralblatt MATH: 0136.43702
Mathematical Reviews (MathSciNet): MR133139
Digital Object Identifier: doi:10.2307/1970311
[12] E. Spanier, Algebraic topology, McGraw-Hill, New York, 1966.
Zentralblatt MATH: 0145.43303
Mathematical Reviews (MathSciNet): MR210112
[13] R. Thorn, Sur une partition en cellules associee a une fonction sur une variete, C. R. Acad. Sci. Paris 228 (1949), 973-975.
Zentralblatt MATH: 0034.20802
Mathematical Reviews (MathSciNet): MR29160
[14] E. Witten, Supersymmetry and Morse theory, J. Differential Geometry 17 (1982), 661- 692.
Zentralblatt MATH: 0499.53056
Mathematical Reviews (MathSciNet): MR683171
Project Euclid: euclid.jdg/1214437492

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Journal of Differential Geometry

Journal of Differential Geometry

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