Cubical simplicial volume of 3-manifolds

2015/08/12 by Clara Loeh, Loeh, Clara, Cristina Pagliantini +3
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1508.03017

openalex publication_date 2015/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that cubical simplicial volume of oriented closed 3-manifolds is equal to one fifth of ordinary simplicial volume.

Related

• The simplicial volume of contractible 3-manifolds
• Simplicial volume of compact manifolds with amenable boundary
• Transcendental simplicial volumes
• Odd manifolds of small integral simplicial volume
• The Proportionality Principle of Simplicial Volume