Reconstruction method
This page is a bibliographic and methodological reconstruction, not a reproduction of Atiyah’s papers, books, lectures, or archival materials. It follows the uploaded Logarchéon pattern: strategy cards, formulas, diagnostic questions, failure modes, a prevalence histogram, a filterable 300-case corpus, source-spine cards, and worked demonstrations. Strategy tags overlap; percentages do not sum to 100%.
Core thesis
Atiyah’s method repeatedly turns geometry into topology, topology into analysis, analysis into index formulas, and index formulas back into geometry or physics. The controlling habit is not mere abstraction; it is disciplined translation between categories until a stable invariant becomes unavoidable.
Deep reading unit
Each case is read as a miniature bridge: object → vector bundle / symbol / moduli space → invariant → computation → theorem → conceptual dictionary.
Inherited page features
The page preserves the Conway/Ahlfors visual idiom and adds the Knuth-style richer controls: searchable corpus, family and strategy filters, click-to-open case details, ranked prevalence, decision tree, source spine, and demonstrations.
The Atiyah strategy engine
Overlapping prevalence ranking
Bars show count divided by 300 cases. Because a case can use several Atiyah strategies at once, this is a method-frequency map rather than a probability distribution.
Decision tree for reading Atiyah as method
300-case corpus
| # | Case | Family | Deep reading move | Strategies |
|---|