Greedy 1-Skeleton Homology Basis on Genus-2 Surfaces: A Pedagogical Review — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Homology basis computation on genus-2 surfaces is algorithmic via greedy 1-skeleton methods, but the search results are pedagogical videos, not primary research — no new mathematical result is presented. | MATH: No equations, constants, or ratios are extracted from these sources; they reference standard algebraic topology (simplicial homology, Mayer–Vietoris sequence, homotopy basis of genus-g surface with 2g fundamental cycles). | CONNECTION: Genus-2 surface has Euler characteristic χ = 2 − 2g = −2; its fundamental group has 4 generators with one relation — this is a hyperbolic surface whose optimal pants decomposition relates to Fenchel–Nielsen coordinates, but no golden-ratio or base-60 link appears in the given material. | DEPTH: 2 — These are expository videos on existing topology; no novel insight, no harmonic constants, no crystallographic or number-theoretic resonance. The only faint connection: genus-2 surfaces admit constant negative curvature (hyperbolic geometry), Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222882107
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