Twisted Alexander invariants and Hyperbolic volume
Hiroshi Goda
TL;DR
This paper introduces a novel volume formula for hyperbolic knot complements that utilizes twisted Alexander invariants, providing a new algebraic approach to understanding hyperbolic geometry.
Contribution
It presents a new method linking twisted Alexander invariants to hyperbolic volume calculations, advancing the algebraic tools in geometric topology.
Findings
Derived a volume formula for hyperbolic knot complements
Connected twisted Alexander invariants with hyperbolic volume
Enhanced algebraic techniques for geometric topology
Abstract
We give a volume formula of hyperbolic knot complements using twisted Alexander invariants.
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