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Higher Dimensional Knot Theory: How I stumbled upon the results
by
Samue Lomonaco
University of Marland Baltimore County (UMBC)
In this talk, we discuss how the speaker stumbled upon different research results in higher dimensional knot theory. In particular: 1) How the Fox Free Derivative magically popped up in a long calculation of the second homotopy group of a spun knot. 2) How a long calculation resulted in a method for reducing four dimensional knot theory to three dimensional knot theory. 3) How the above appearance of the Fox Free Derivatives surprisingly morphed into the discovery of a Generalized Eilenberg MacLane (GEM) complex.
Date received: December 1, 2015
Copyright © 2015 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 # cblw-48.