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Hochschild homology and 3-manifolds
by
Michael McLendon
Washington College
Given a Heegaard splitting of a closed 3-manifold, the zeroth Hochschild homology of the skein algebra of the gluing surface with coefficients in the tensor product of the skein modules of the two handlebodies can be seen as the Kauffman bracket skein module of the resulting 3-manifold. It is natural to ask if the higher Hochschild homology modules are independent of the Heegaard splitting and thus also invariants of the 3-manifold. We will look at the Hochschild chain complex associated to a Heegaard splitting and investigate the effect of stabilization.
Date received: March 25, 2007
Copyright © 2007 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 # cauq-03.