A roadmap to the (vanishing of the) Euler characteristic

2023/06/29 by Clara Loeh, Loeh, Clara, George Raptis +1
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2306.16933

Abstract

We give a diagrammatic summary of the connections between various theorems and conjectures about the vanishing of the Euler characteristic.

Related

• Lectures on the Euler characteristic of affine manifolds
• The Euler characteristic of a category as the sum of a divergent series
• Unusual formulae for the Euler characteristic
• Euler characteristics, Fubini's theorem, and the Riemann-Hurwitz formula
• Higher Euler characteristics