Quantum invariants at the sixth root of unity |
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| Authors: | Robion Kirby Paul Melvin Xingru Zhang |
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| Affiliation: | (1) Department of Mathematics, University of California, 94720 Berkeley, CA, USA;(2) Department of Mathematics, Bryn Mawr College, 19010 Bryn Mawr, PA, USA;(3) Department of Mathematics, University of British Columbia, V6T 1Y4 Vancouver, BC, Canada |
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| Abstract: | A general topological formula is given for theSU (2) quantum invariant of a 3-manifoldM at the sixth root of unity. It is expressed in terms of the homology, Witt invariants and signature defects of the various 2-fold covers ofM, and thus ties in with basic 4-dimensional invariants. A discussion of the range of values of these quantum invariants is included, and explicit evaluations are made for lens spaces. |
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