The Euler characteristic of a triangulated manifold in terms of even-dimensional faces

2025/10/23 by Gavrilov, Alexey V.
#52B05 #57Q99 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.23623

Abstract

We give a formula for the Euler characteristic of a triangulated manifold of even dimension in terms of the numbers of even-dimensional faces only. The coefficients in this formula are universal (they do not depend on the dimension of the manifold).

Citations

• The Sphere Formula
• Applications of Klee's Dehn-Sommerville relations

Related

• A formula for the Euler characteristics of even dimensional triangulated manifolds
• Unusual formulae for the Euler characteristic
• The Sphere Formula
• The Euler characteristic of an even-dimensional graph
• Euler Characteristics of Random Manifolds