Greedy 1-Skeleton Homology Basis on Genus-2 Surfaces: A Pedagogical Review — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026greedy,
title = {{Greedy 1-Skeleton Homology Basis on Genus-2 Surfaces: A Pedagogical Review — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446757},
url = {https://zenodo.org/records/23446757},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Greedy 1-Skeleton Homology Basis on Genus-2 Surfaces: A Pedagogical Review — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446757
UR - https://zenodo.org/records/23446757
AB - 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
ER -