Topological Monodromy of an Integrable Heisenberg Spin Chain

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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dc.contributor.author	Lane, J.
dc.date.accessioned	2019-02-13T17:18:47Z
dc.date.available	2019-02-13T17:18:47Z
dc.date.issued	2015
dc.identifier.citation	Topological Monodromy of an Integrable Heisenberg Spin Chain / J. Lane // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 37J35; 53D12
dc.identifier.other	DOI:10.3842/SIGMA.2015.062
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147133
dc.description.abstract	We investigate topological properties of a completely integrable system on S²×S²×S² which was recently shown to have a Lagrangian fiber diffeomorphic to RP³ 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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Algebraic Methods in Dynamical Systems. The full collection is available at http://www.emis.de/journals/SIGMA/AMDS2014.html. The author would like to thank his advisor Yael Karshon for her guidance and support and Leonid Polterovich for suggesting the study of integrable spin chains. Special thanks also goes to Joel Oakley for discussing his recent work on displaceability, Anton Izosimov for explaining his results on non-degenerate singularities, Peter Crooks for his editorial assistance, and the referees for their detailed feedback. The author was supported by NSERC PGS-D and OGS scholarships during the preparation of this work.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Topological Monodromy of an Integrable Heisenberg Spin Chain	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA