Algebraic invariants, mutation, and commensurability of link complements

@article{Chesebro2014AlgebraicIM,
  title={Algebraic invariants, mutation, and commensurability of link complements},
  author={Eric B. Chesebro and J. Deblois},
  journal={Pacific Journal of Mathematics},
  year={2014},
  volume={267},
  pages={341-398}
}
  • Eric B. Chesebro, J. Deblois
  • Published 2014
  • Mathematics
  • Pacific Journal of Mathematics
  • We construct a family of hyperbolic link complements by gluing tangles along totally geodesic four-punctured spheres, then investigate the commensurability relation among its members. Those with different volume are incommensurable, distinguished by their scissors congruence classes. Mutation produces arbitrarily large finite subfamilies of nonisometric manifolds with the same volume and scissors congruence class. Depending on the choice of mutation, these manifolds may be commensurable or… CONTINUE READING
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