The volume bound after augmentation of an alternating link
The volume bound after augmentation of an alternating link
Let be a hyperbolic alternating link, and let be an augmented unknot around any two parallel strands of . Augmentation volume conjecture.
This conjecture would give an upper bound on the volume change caused by drilling out an augmented unknot. The source states that it follows from the Vol-Det conjecture and presents it as a new bound whose general validity remains open.
Sources & referencesView supporting material
Primary source
Abhijit Champanerkar, Ilya Kofman and Matilde Lalín, “Mahler Measure and the Vol-Det Conjecture”, arXiv:1805.05490 (2018).
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