The A-polynomial and holonomy perturbations

林剑锋 University of California Los Angeles

Geometric Analysis and Geometric Topology mathscidoc:2205.15011

Mathematical Research Letters, 22, (5), 2015.5
Dunfield-Garoufalidis and Boyer-Zhang proved that the A-polynomial of a nontrivial knot in S3 is nontrivial. In this paper, we use holonomy perturbations to prove the non-triviality of the A-polynomial for a nontrivial, null-homotopic knot in an irreducible 3-manifold. Also, we give a strong constraint on the A-polynomial of a knot in the 3-sphere.
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  title={The  A-polynomial and holonomy perturbations},
  booktitle={Mathematical Research Letters},
林剑锋. The A-polynomial and holonomy perturbations. 2015. Vol. 22. In Mathematical Research Letters.
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