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Organizers |
The search for simplicity in higher dimensional knot theory.
by
Samuel J. Lomonaco
University of Maryland Baltimore County (UMBC)
We discuss an ongoing research program to find an efficient algorithm (similar to Wirtinger's for 1-knot groups) to compute the algebraic 2-type of the exterior X of a 2-knot (S^4,kS^2), i.e., the triple consisting of Pi_1(X), Pi_2(X) as a ZPi_1(X)-module, and the k-invariant k(X) lying in H^3(Pi_1(X),Pi_2(X)).
Date received: November 26, 2017
Copyright © 2017 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 # cboj-16.