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تسجيل مستخدم جديدTopological Monodromy of an Integrable Heisenberg Spin Chain
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تأليف
Jeremy Lane
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We investigate topological properties of a completely integrable system on $S^2times S^2 times S^2$ 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.
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