Morse theory indomitable

Raoul Bott

Publications Mathématiques de l'IHÉS (1988)

  • Volume: 68, page 99-114
  • ISSN: 0073-8301

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Bott, Raoul. "Morse theory indomitable." Publications Mathématiques de l'IHÉS 68 (1988): 99-114. <http://eudml.org/doc/104046>.

@article{Bott1988,
author = {Bott, Raoul},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {moment map; symplectic geometry; survey; Thom-Smale-Witten complex; harmonic oscillator},
language = {eng},
pages = {99-114},
publisher = {Institut des Hautes Études Scientifiques},
title = {Morse theory indomitable},
url = {http://eudml.org/doc/104046},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Bott, Raoul
TI - Morse theory indomitable
JO - Publications Mathématiques de l'IHÉS
PY - 1988
PB - Institut des Hautes Études Scientifiques
VL - 68
SP - 99
EP - 114
LA - eng
KW - moment map; symplectic geometry; survey; Thom-Smale-Witten complex; harmonic oscillator
UR - http://eudml.org/doc/104046
ER -

References

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  1. [1] M. F. ATIYAH and R. BOTT, The Yang-Mills equations over Riemann surfaces, Phil. Trans. Roy. Soc., London, A308 (1982), 523-615. Zbl0509.14014MR85k:14006
  2. [2] M. F. ATIYAH and R. BOTT, The moment map and equivariant cohomology, Topology, 21 (1) (1984), 1-28. Zbl0521.58025MR85e:58041
  3. [3] J. J. DUISTERMAAT and G. J. HECKMAN, On the variation in the cohomology in the symplectic form of the reduced phase space, Invent. Math., 69 (1982), 259-268. Zbl0503.58015MR84h:58051a
  4. [4] A. FLOER, Morse theory for Lagrangian intersections, J. Diff. Geom., 28 (1988), 513-547. Zbl0674.57027MR90f:58058
  5. [5] B. HELFER, J. SJÖSTRAND, Points multiples en mécanique semiclassique IV, étude du complexe de Witten, Comm. Par. Diff. Equ., 10 (1985), 245-340. Zbl0597.35024
  6. [6] S. SMALE, Differentiable dynamical systems, Bull. Am. Math. Soc., 73 (1967), 747. Zbl0202.55202MR37 #3598
  7. [7] René THOM, Sur une partition en cellules associée à une fonction sur une variété, C.R. Acad. Sci. Paris, 228 (1949), 661-692. Zbl0034.20802MR10,558b
  8. [8] E. WITTEN, Supersymmetry and Morse theory, J. Diff. Geom., 17 (1982), 661-692. Zbl0499.53056MR84b:58111

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