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dc.contributor.authorKotiuga, P. Roberten_US
dc.date.accessioned2018-07-19T18:50:10Z
dc.date.available2018-07-19T18:50:10Z
dc.date.issued2016-02-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000369601800017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationP. Robert Kotiuga. On the topological characterization of near force-free magnetic fields, and the work of late-onset visually-impaired topologists. Discrete & Continuous Dynamical Systems - S, 2016, 9 (1) : 215-234. doi: 10.3934/dcdss.2016.9.215
dc.identifier.issn1937-1632
dc.identifier.issn1937-1179
dc.identifier.urihttps://hdl.handle.net/2144/29995
dc.descriptionThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in "Discrete And Continuous Dynamical Systems-Series S" following peer review. The definitive publisher-authenticated version P. Robert Kotiuga. On the topological characterization of near force-free magnetic fields, and the work of late-onset visually-impaired topologists. Discrete & Continuous Dynamical Systems - S, 2016, 9 (1) : 215-234 is available online at: http://dx.doi.org/10.3934/dcdss.2016.9.215.en_US
dc.description.abstractThe Giroux correspondence and the notion of a near force-free magnetic field are used to topologically characterize near force-free magnetic fields which describe a variety of physical processes, including plasma equilibrium. As a byproduct, the topological characterization of force-free magnetic fields associated with current-carrying links, as conjectured by Crager and Kotiuga, is shown to be necessary and conditions for sufficiency are given. Along the way a paradox is exposed: The seemingly unintuitive mathematical tools, often associated to higher dimensional topology, have their origins in three dimensional contexts but in the hands of late-onset visually impaired topologists. This paradox was previously exposed in the context of algorithms for the visualization of three-dimensional magnetic fields. For this reason, the paper concludes by developing connections between mathematics and cognitive science in this specific context.en_US
dc.format.extentp. 215 - 234en_US
dc.languageEnglish
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMSen_US
dc.relation.ispartofDiscrete And Continuous Dynamical Systems-Series S
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectScience & technologyen_US
dc.subjectPhysical sciencesen_US
dc.subjectMathematics, applieden_US
dc.subjectMathematicsen_US
dc.subjectElectromagnetismen_US
dc.subjectTopologyen_US
dc.subjectMagnetic fieldsen_US
dc.subjectNeuroplasticityen_US
dc.subjectScalar potentialsen_US
dc.subjectUnknotted curvesen_US
dc.subjectElectromagnetismen_US
dc.titleOn the topological characterization of near force-free magnetic fields, and the work of late-onset visually-impaired topologistsen_US
dc.typeArticleen_US
dc.identifier.doi10.3934/dcdss.2016.9.215
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Engineeringen_US
pubs.organisational-groupBoston University, College of Engineering, Department of Electrical & Computer Engineeringen_US
pubs.publication-statusPublisheden_US


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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 International