KNOTS AND LINKS IN INTEGRABLE HAMILTONIAN SYSTEMS
1998 ◽
Vol 07
(02)
◽
pp. 123-153
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Keyword(s):
The main purpose of this paper is to prove that Bott integrable Hamiltonian flows and non-singular Morse-Smale flows are closely related. As a consequence, we obtain a classification of the knots and links formed by periodic orbits of Bott integrable Hamiltonians on the 3-sphere and on the solid torus. We also show that most of Fomenko's theory on the topology of the energy levels of Bott integrable Hamiltonians can be derived from Morgan's results on 3-manifolds that admit non-singular Morse-Smale flows.
2021 ◽
Vol 29
(6)
◽
pp. 863-868
Keyword(s):
1995 ◽
Vol 186
(1)
◽
pp. 1-27
◽
1990 ◽
Vol 45
(2)
◽
pp. 59-94
◽
1995 ◽
Vol 59
(1)
◽
pp. 63-100
◽
Keyword(s):
2000 ◽
Vol 30
(2)
◽
pp. 447-476
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