Recent progress of various Volume Conjectures for links as well as 3-manifolds

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Abstract

This is a survey paper.It will report some progres stowards various Volume Conjectures including the original one for the colored Jones polynomials of links, the Chen-Yang style ones for the Reshetikhin‐Turaev invariants and the Turaev‐Viro invariants of hyperbolic 3‐manifolds as well as a new vision on the relation between the Habiro type cyclotomic expansion and Volume Conjectures inspired by the large N duality.
Original languageEnglish (US)
Pages (from-to)56
Number of pages73
JournalResearch Institute of Mathematics Science Kôkyûroku, Kyoto University.
Volume2052
StatePublished - 2017

Keywords

  • Volume conjecture

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