Colored Jones invariants of links in S3 # k S2 X S1 and the Volume Conjecture
Abstract
We extend the definition of the colored Jones polynomials to framed links and trivalent graphs in S3 # k S2 X S1 using a state-sum formulation based on Turaev's shadows. Then, we prove that the natural extension of the Volume Conjecture is true for an infinite family of hyperbolic links.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.