{"query": "J. Morgan 2007 — Ricci Flow and the Poincaré Conjecture", "count": 16, "results": [{"id": "card_src_mill_morgan_tian_2007", "title": "J. Morgan 2007 — Ricci Flow and the Poincaré Conjecture", "shelf": "millennium", "surface": "secular", "snippet": "J. Morgan, G. Tian (2007). Ricci Flow and the Poincaré Conjecture. Clay Mathematics Monographs 3, AMS, 2007. arXiv: math/0607607. Canonical: https://bookstore.ams.org/CMIM/3. Free copy: https://arxiv.", "authority_tier": "reference", "source": "J. Morgan, G. Tian (2007), Clay Mathematics Monographs 3, AMS, 2007", "readable": false, "generated": false}, {"id": "card_theory_celestial_mechanics_ephemeris_prediction", "title": "Celestial mechanics / ephemeris prediction", "shelf": "theories", "surface": "secular", "snippet": "Celestial mechanics / ephemeris prediction — an engine domain that can touch it: ephemeris. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it. Computing", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_floor_poincare", "title": "The Poincare chain - from the homology sphere and the heat flow to the closed question", "shelf": "codex", "surface": "secular", "snippet": "Two trees. Topology: Poincaré's homology sphere and the question (1904), Thurston's geometrization (1982). Geometric analysis: the heat-flow method of Eells and Sampson (1964), Hamilton's Ricci flow (", "authority_tier": "engine_derived", "source": "Narrow Highway - a chain on the one map (operator seed)", "readable": false, "generated": false}, {"id": "card_src_mill_cao_zhu_2006", "title": "H.-D. Cao 2006 — A complete proof of the Poincaré and geometrization conjectures — application of the Hamilton-Perelman theory of the Ricci flow", "shelf": "millennium", "surface": "secular", "snippet": "H.-D. Cao, X.-P. Zhu (2006). A complete proof of the Poincaré and geometrization conjectures — application of the Hamilton-Perelman theory of the Ricci flow. Asian J. Math. 10 (2006) 165–492. DOI 10.4", "authority_tier": "reference", "source": "H.-D. Cao, X.-P. Zhu (2006), Asian J. Math. 10 (2006) 165–492", "readable": false, "generated": false}, {"id": "card_floor_bsd", "title": "The Birch and Swinnerton-Dyer chain - from the group of rational points to the L-function", "shelf": "codex", "surface": "secular", "snippet": "Two trees. The arithmetic: Poincaré's group law on the rational points (1901), Mordell's finite generation (1922), Weil's heights (1929), the canonical height (Néron 1965). The analytic: Hasse's Riema", "authority_tier": "engine_derived", "source": "Narrow Highway - a chain on the one map (operator seed)", "readable": false, "generated": false}, {"id": "card_chain_poincare_1901", "title": "Poincaré 1901 — Sur les propriétés arithmétiques des courbes algébriques", "shelf": "codex", "surface": "secular", "snippet": "H. Poincaré (1901). Sur les propriétés arithmétiques des courbes algébriques. J. Math. Pures Appl. (5) 7 (1901) 161–233. Cited by its record. License as found: public domain (the author died more than", "authority_tier": "reference", "source": "H. Poincaré (1901), J. Math. Pures Appl. (5) 7 (1901) 161–233", "readable": false, "generated": false}, {"id": "card_chain_thurston_1982", "title": "Thurston 1982 — Three dimensional manifolds, Kleinian groups and hyperbolic geometry", "shelf": "codex", "surface": "secular", "snippet": "W. P. Thurston (1982). Three dimensional manifolds, Kleinian groups and hyperbolic geometry. Bull. Amer. Math. Soc. 6 (1982) 357–381. DOI 10.1090/S0273-0979-1982-15003-0. Canonical: https://doi.org/10", "authority_tier": "reference", "source": "W. P. Thurston (1982), Bull. Amer. Math. Soc. 6 (1982) 357–381", "readable": false, "generated": false}, {"id": "card_src_book_71820", "title": "L'œuvre de Henri Poincaré — Emile Picard", "shelf": "gutenberg", "surface": "secular", "snippet": "L'œuvre de Henri Poincaré, by Emile Picard (in fr). Subjects: Poincaré, Henri, 1854-1912. Read the full text (public domain): https://www.gutenberg.org/ebooks/71820", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_book_32948", "title": "Henri Poincaré: Biographie, Bibliographie Analytique des Écrits — Ernest Lebon", "shelf": "gutenberg", "surface": "secular", "snippet": "Henri Poincaré: Biographie, Bibliographie Analytique des Écrits, by Ernest Lebon (in fr). Subjects: Poincaré, Henri, 1854-1912. Read the full text (public domain): https://www.gutenberg.org/ebooks/329", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_chain_poincare_1904", "title": "Poincaré 1904 — Cinquième complément à l'analysis situs", "shelf": "codex", "surface": "secular", "snippet": "H. Poincaré (1904). Cinquième complément à l'analysis situs. Rend. Circ. Mat. Palermo 18 (1904) 45–110. DOI 10.1007/BF03014091. Canonical: https://doi.org/10.1007/BF03014091. Cited by its record. Lice", "authority_tier": "reference", "source": "H. Poincaré (1904), Rend. Circ. Mat. Palermo 18 (1904) 45–110", "readable": false, "generated": false}, {"id": "card_src_book_37157", "title": "Science and hypothesis — Henri Poincaré", "shelf": "gutenberg", "surface": "secular", "snippet": "Science and hypothesis, by Henri Poincaré. Subjects: Science -- Philosophy; Mathematics -- Philosophy. Read the full text (public domain): https://www.gutenberg.org/ebooks/37157", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_book_15207", "title": "The New Physics and Its Evolution — Lucien Poincaré", "shelf": "gutenberg", "surface": "secular", "snippet": "The New Physics and Its Evolution, by Lucien Poincaré. Subjects: Physics. Read the full text (public domain): https://www.gutenberg.org/ebooks/15207", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_book_15267", "title": "Sechs Vorträge über ausgewählte Gegenstände aus der reinen Mathematik und mathematischen Physik — Henri Poincaré", "shelf": "gutenberg", "surface": "secular", "snippet": "Sechs Vorträge über ausgewählte Gegenstände aus der reinen Mathematik und mathematischen Physik, by Henri Poincaré (in de; fr). Subjects: Mathematics; Mathematical physics. Read the full text (public ", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_book_39713", "title": "The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method — Henri Poincaré", "shelf": "gutenberg", "surface": "secular", "snippet": "The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method, by Henri Poincaré. Subjects: Science -- Methodology; Science -- Philosophy; Mathematics -- Philosophy. Rea", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_book_48180", "title": "Major Prophets of To-Day — Edwin E. (Edwin Emery) Slosson", "shelf": "gutenberg", "surface": "secular", "snippet": "Major Prophets of To-Day, by Edwin E. (Edwin Emery) Slosson. Subjects: Bergson, Henri, 1859-1941; Poincaré, Henri, 1854-1912; Maeterlinck, Maurice, 1862-1949; Metchnikoff, Elie, 1845-1916; Ostwald, Wi", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_chart_euler_char", "title": "Topology and Euler's formula", "shelf": "codex", "surface": "secular", "snippet": "Topology and Euler's formula. A chart on the one map: this is the tick stick stick_topology_and_euler_s_formula, placed at the node it charts. Basis: the stick seals V - E + F = 2 for the Platonic sol", "authority_tier": "engine_derived", "source": "Narrow Highway - a chart: a tick stick placed on the one map", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_src_mill_morgan_tian_2007"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}