Prior Art — Topology and Geometry
Prior-art cluster pa000008 — Topology and Geometry: 14 representative references and 4 structural-challenge edges curated from the central bibliography.
Cluster ID: pa000008 · 139 bibliography entries in domain
Topology and Geometry
Algebraic geometry (Hartshorne, Griffiths–Harris, Voisin), complex geometry (Huybrechts, Ahlfors's conformal-invariants treatment), several-complex- variables analysis relevant to the τ-Holomorphy and Hartogs-extension machinery in Book I (Grauert, Hörmander, Gunning–Rossi), and index theory (Atiyah–Singer, Atiyah–Bott). The cluster grounds the program's "Global Hartogs" claim on the split-complex boundary algebra ℋ[j] (which requires careful treatment given zero divisors — see Pure Mathematics expert-domain dossier). Reviewers should compare the τ-CR operator and Hartogs-style extension on 𝕃 against the classical multi-variable holomorphy literature.
Representative references
Curated subset (14 of 139 domain entries) — the most-cited and canonical works in this cluster. The full set is enumerable via the Bibliography browse surface.
Where this cluster bears on the program
Construction-spine steps the cluster's prior art most directly engages.
Related structural challenges
Structural Challenge Ledger items where this cluster's prior art is part of the obligation surface. Each link goes to the canonical SCL item; from there, the paired Challenge Response on the Results lane shows the program's current τ response.
SCL items resolve via the Structural Challenge Ledger; the corresponding Challenge Responses live on the Results-side projection.
For fuller editorial comparisons
The cluster surface here is the machine-readable backbone. For narrative comparisons against specific approach families — shared pressure, distinguishing claim, remaining burden — see the Deep Comparison briefing, which carries the editorial work and will continue to expand as more comparisons are authored.
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