Elements of finite geometry I

Oliver Knill

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arXiv · 2608.06405

Elements of finite geometry I

Oliver Knill

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Abstract

This is a snapshot of a first part on a possibly much longer text on finite geometries, meaning graphs or finite abstract simplicial complexes. In in this first batch we review 12 subjects: Gauss-Bonnet, Poincare-Hopf, Index expectation, Euler's gem, Euler-Poincare,Unimodularity, Brouwer-Lefschetz, Sphere formula, Level sets, Index formula, Quadratic cohomology and Higher characteristic.

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Oliver Knill. 2026-08-03. Elements of finite geometry I. https://arxiv.org/abs/2608.06405

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