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Pseudo knots and an obstruction to cosmetic crossings

Published 15 Dec 2015 in math.GT | (1512.04753v1)

Abstract: Pseudo links have two crossing types: classical crossings and indeterminate crossings. They were first introduced by Ryo Hanaki as a possible tool for analyzing images produced by electron microscopy of DNA. A normalized bracket polynomial is defined for pseudo links and then used to construct and obstruction to cosmetic crossings in classical links.

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