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Branched coverings and braided manifolds of low dimensions
by
Seiichi Kamada
Hiroshima University
Coauthors: J. Scott Carter
We introduce the notion of a braided manifold, discuss how it relates with branched coverings and how we describe it. Especially, for the 2-dimensional case, we have a method of describing branched coverings of the 2-sphere by using graphics, called a permutation chart. It is an unoriented version of a chart description of 2-dimensional braids. We can generalize this to 3-dimensional case, and even more higher. This is an on-going project with J. Scott Carter.
Date received: October 24, 2012
Copyright © 2012 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 # cbfw-09.