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Volume conjecture for knots

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Author(s): Murakami, Hitoshi; Yokota, Yoshiyuki
Series: SpringerBriefs in mathematical physics 30
Publisher: Springer
Year: 2018

Language: English
Pages: 120
Tags: Knot theory.

Content: 1. Preliminaries (knots and links, braids, hyperbolic geometry).- 2. R-matrix, the Kashaev invariant and the colored Jones polynomimal.- 3. Volume conjecture.- 4. Triangulation of a knot complement and hyperbolicity equation.- 5. Idea of the "proof".- 6. Representations of a knot group into SL(2
C) and their Chern-Simons invariant.- 7. Generalization of the volume conjecture.