Proof of the volume conjecture for Whitehead chains
Roland van der Veen
TL;DR
This paper proves the volume conjecture for an infinite family of links called Whitehead chains, extending the conjecture's validity to a broader class of links including Whitehead links and Borromean rings.
Contribution
It establishes the volume conjecture for Whitehead chains, a significant generalization beyond previously known cases.
Findings
Proves the volume conjecture for Whitehead chains
Extends the conjecture to include Whitehead links and Borromean rings
Provides a new class of links satisfying the volume conjecture
Abstract
We prove the volume conjecture for an infinite family of links called Whitehead chains that generalizes both the Whitehead link and the Borromean rings.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Molecular spectroscopy and chirality