Calvin McPhail-Snyder

collaborators

Showing math.GTShow all

3 papers · 1 filter

math.GT2026

State integrals for the quantized $SL_{2} (C)$ Chern-Simons invariant

Calvin McPhail-Snyder

Previous work of the author and N. Reshetikhin defines an invariant $Z_{N}^{I ¨} (K, I ¨ , I^¼)$ of a knot $K$ , a representation $Ï: Ï_{1}(S^{3} \setminus K) \to \operato…

math.GT2026

Hyperbolic structures on link complements, octahedral decompositions, and quantum $sl_{2}$

Calvin McPhail-Snyder

Hyperbolic structures on link complements (equivalently, representations of the fundamental group into $SL_{2} (C)$ ) can be described algebraically by using th…

math.GT2025

Octahedral coordinates from the Wirtinger presentation

Calvin McPhail-Snyder

Let $I ¨ $ be a representation of a knot group (or more generally, the fundamental group of a tangle complement) into $SL_{2} (C)$ expressed in terms of the Wirt…

State integrals for the quantized SL2​(C) Chern-Simons invariant

Hyperbolic structures on link complements, octahedral decompositions, and quantum sl2​

Octahedral coordinates from the Wirtinger presentation

State integrals for the quantized $SL_{2} (C)$ Chern-Simons invariant

Hyperbolic structures on link complements, octahedral decompositions, and quantum $sl_{2}$