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Unified Witten-Reshetikhin-Turaev invariant for integral and rational homology 3-spheres
by
Anna Beliakova
University of Zurich
Coauthors: Thang Le
In 2001, Habiro announced a construction of an invariant of integral homology 3-spheres with values in the universal cyclotomic ring. Habiro's invariant specializes at a root of unity to the value of the sl(2) Witten-Reshetikhin-Turaev invariant at that root. In this talk, we will explain how such a unified invariant can be consrtucted for integral and rational homology 3-spheres. Furthermore, we show that this unified invariant separates integral homology Seifert fibered spaces.
Date received: April 17, 2006
Copyright © 2006 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 # casv-06.