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A Diagram-Free Link Homology
by
Adam McDougall
University of Iowa
Link homologies are typically dependent on diagrams. That is, one usually gets a homology from the diagram corresponding to the projection of a particular link, then tries to prove that the homology is invariant under the 3 Reidemeister moves. Having a homology that is created from a true equivalent class of links under isotopy in 3-space has the advantage of bypassing the need for the 3 Reidemeister moves. In my work I set up a chain complex from a given link and study its homology, comparing it to other well-known link homologies.
Date received: March 27, 2008
Copyright © 2008 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 # cawt-20.