Lectures on Morse theory, old and new

Bott, Raoul

doi:10.1090/S0273-0979-1982-15038-8

Lectures on Morse theory, old and new
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Bull. Amer. Math. Soc. 7 (1982), 331-358

References

M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308 (1983), no. 1505, 523–615. MR 702806, DOI 10.1098/rsta.1983.0017
Raoul Bott, Nondegenerate critical manifolds, Ann. of Math. (2) 60 (1954), 248–261. MR 64399, DOI 10.2307/1969631
Raoul Bott, On the iteration of closed geodesics and the Sturm intersection theory, Comm. Pure Appl. Math. 9 (1956), 171–206. MR 90730, DOI 10.1002/cpa.3160090204
Detlef Gromoll and Wolfgang Meyer, On differentiable functions with isolated critical points, Topology 8 (1969), 361–369. MR 246329, DOI 10.1016/0040-9383(69)90022-6
G. Harder, Eine Bemerkung zu einer Arbeit von P. E. Newstead, J. Reine Angew. Math. 242 (1970), 16–25 (German). MR 262246, DOI 10.1515/crll.1970.242.16
G. Harder and M. S. Narasimhan, On the cohomology groups of moduli spaces of vector bundles on curves, Math. Ann. 212 (1974/75), 215–248. MR 364254, DOI 10.1007/BF01357141
Wilhelm Klingenberg, Lectures on closed geodesics, Grundlehren der Mathematischen Wissenschaften, Vol. 230, Springer-Verlag, Berlin-New York, 1978. MR 0478069, DOI 10.1007/978-3-642-61881-9
P. E. Newstead, Stable bundles of rank $2$ and odd degree over a curve of genus $2$, Topology 7 (1968), 205–215. MR 237500, DOI 10.1016/0040-9383(68)90001-3
C. S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math. (2) 85 (1967), 303–336. MR 233371, DOI 10.2307/1970444
Raoul Bott and Hans Samelson, Applications of the theory of Morse to symmetric spaces, Amer. J. Math. 80 (1958), 964–1029. MR 105694, DOI 10.2307/2372843
S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI 10.1090/S0002-9904-1967-11798-1
René Thom, Sur une partition en cellules associée à une fonction sur une variété, C. R. Acad. Sci. Paris 228 (1949), 973–975 (French). MR 29160