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Organizers |
A Diagramless Homology
by
Adam McDougall
University of Iowa
Link homologies are typically built from link diagrams as opposed to link equivalence classes. In this talk, a link homology will be built directly from the links themselves. For chain groups, we use certain surfaces which have boundary equal to the given link. Surface signature is used for the homological grading.
This diagramless homology seems to consist of copies of Khovanov homology and sometimes copies of a truncated version of Khovanov homology. For all links one can find an injection from the Khovanov homology for that link into the diagramless homology for the link.
Date received: November 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 # caxq-34.