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The Giroux correspondence and the notion of a near force-free magnetic fieldare used to topologically characterize near force-free magnetic fields whichdescribe a variety of physical processes, including plasma equilibrium. As abyproduct, the topological characterization of force-free magnetic fieldsassociated with current-carrying links, as conjectured by Crager and Kotiuga,is shown to be necessary and conditions for sufficiency are given. Along theway a paradox is exposed: The seemingly unintuitive mathematical tools, oftenassociated to higher dimensional topology, have their origins in threedimensional contexts but in the hands of late-onset visually impairedtopologists. This paradox was previously exposed in the context of algorithmsfor the visualization of three-dimensional magnetic fields. For this reason,the paper concludes by developing connections between mathematics and cognitivescience in this specific context.

On the Topological Characterization of Near Force-Free Magnetic Fields, and the work of late-onset visually-impaired Topologists