Geodesic
Topological Monodromy of an Integrable Heisenberg Spin Chain
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate topological properties of a completely integrable system on $S^2\times S^2 \times S^2$ which was recently shown to have a Lagrangian fiber diffeomorphic to $\mathbb{R} P^3$ not displaceable by a Hamiltonian isotopy [Oakley J., Ph.D. Thesis, University of Georgia, 2014]. This system can be viewed as integrating the determinant, or alternatively, as integrating a classical Heisenberg spin chain. We show that the system has non-trivial topological monodromy and relate this to the geometric interpretation of its integrals.
Keywords: integrable system; monodromy; Lagrangian fibration; Heisenberg spin chain. 
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     author = {Jeremy Lane},
     title = {Topological {Monodromy} of an {Integrable} {Heisenberg} {Spin} {Chain}},
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Jeremy Lane. Topological Monodromy of an Integrable Heisenberg Spin Chain. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a61/

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