Solving Thurston Equation in a Commutative Ring

2012/01/11 by Feng Luo, Luo, Feng · 2 citations
Mathematics · #57M27 #57M50 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M27 #msc:57M50

paper · pdf · doi:10.48550/arxiv.1201.2228

17 pages, 4 figures

arxiv created 2012/01/11 · openalex publication_date 2012/01/11 · arxiv updated 2012/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• A non-commutative generalisation of Thurston's gluing equations
• 2-Linearizability of Geometric 3-Manifold Groups Over Commutative Rings

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