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Globular: Manipulating knots, knotted surfaces, and higher dimensional knots
by
J. Scott Carter
University of South Alabama
Coauthors: Jamie Vicary
About 7 months ago, Jamie Vicary showed me program globular.science . This is a categorical approach to knot theory and higher dimensional knot theory. In addition, diagrammatic calculations can be made in the context of Frobenius or Hopf algebras or their categorical analogues. In this talk, I want to demonstrate a wide variety of example computations that can be made in the context of globular. In particular, I want to show examples of braided n-manifolds embedded and immersed in (n+2)-space. These are two and three fold simple branched covers that are embedded in such a way that the projection induces the branched covering.
Other interesting examples will also be constructed and demonstrated.
Date received: November 23, 2016
Copyright © 2016 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbnq-30.