Boundary slopes and the logarithmic limit set

Details Boundary slopes and the logarithmic limit set Boundary slopes and the logarithmic limit set

2003-06-03

arxiv.org/abs/math/0306055v1

Mathematics

Geometric Topology

19 pages, 2 figures

Scientific paper

The A-polynomial of a manifold whose boundary consists of a single torus is generalised to an eigenvalue variety of a manifold whose boundary consists of a finite number of tori, and the set of strongly detected boundary curves is determined by Bergman's logarithmic limit set, which describes the exponential behaviour of the eigenvalue variety at infinity. This enables one to read off the detected boundary curves of a multi-cusped manifold in a similar way to the 1-cusped case, where the slopes are encoded in the Newton polygon of the A-polynomial.

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