Lower bounds on complexity of geometric 3-orbifolds

2009/12/29 by Ekaterina Pervova, Pervova, Ekaterina
Mathematics · #57M99 #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0912.5294

openalex publication_date 2009/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a lower bound on the complexity orientable locally orientable geometric 3-orbifolds in terms of Delzant's T-invariants of their orbifold-fundamental groups, generalizing previously known bounds for complexity of 3-manifolds.

Citations

• The Geometries of 3-Manifolds

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