Solving Thurston Equation in a Commutative Ring

Abstract

We show that solutions of Thurston equation on triangulated 3-manifolds in a commutative ring carry topological information. We also introduce a homogeneous Thurston equation and a commutative ring associated to triangulated 3-manifolds.

17 pages, 4 figures

References in corpus (1)

• A Geometric transition from hyperbolic to anti de Sitter geometry

Cited by in corpus (2)

• Noncommutative Cross-Ratios
• A non-commutative generalisation of Thurston's gluing equations