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A-polynomial and Bloch invariants of hyperbolic 3-manifolds
by
Abhijit Champanerkar
Barnard College, Columbia University
For an one-cusped hyperbolic 3-manifold N with an ideal triangulation we construct a plane curve in C^2 using the combinatorics of the triangulation. We show that the defining polynomial of this curve is the PSL(2, C) A-polynomial of N. The Bloch invariant of N is defined using the triangulation of N and determines the volume of N. We relate the A-polynomial to the variation of Bloch invariant of N.
Date received: May 27, 2004
Copyright © 2004 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 # canv-27.