Martynchuk N, Broer HW, Efstathiou K (2019)
Publication Type: Journal article
Publication year: 2019
DOI: 10.1007/s00220-019-03578-2
We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the system. Our proof is based on Takens's index theorem, which specifies how the energy-h Chern number changes when h passes a non-degenerate critical value, and a choice of admissible cycles in Fomenko-Zieschang theory. Connections of our result to some of the existing approaches to monodromy are discussed.
APA:
Martynchuk, N., Broer, H.W., & Efstathiou, K. (2019). Hamiltonian Monodromy and Morse Theory. Communications in Mathematical Physics. https://doi.org/10.1007/s00220-019-03578-2
MLA:
Martynchuk, Nikolay, H. W. Broer, and K. Efstathiou. "Hamiltonian Monodromy and Morse Theory." Communications in Mathematical Physics (2019).
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