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Annals of Mathematics Studies 76, Princeton University Press. Academic scan: www.maths.ed.ac.uk/~v1ranick/papers/milnstas.pdf
Chapter 15, Theorem 15.3: the total Pontryagin class product formula holds modulo elements of order two. Verified against the original-text transcription in the TeXromancers edition: aareyanmanzoor.github.io/assets/books/characteristic-classes.pdf
Characteristic forms and geometric invariants by Shiing-Shen Chern and James Simons by
Codex 0 2026-11-05
Annals of Mathematics 99(1), pp. 48–69. Theorem 2.12, p. 51; equation (3.1) and Proposition 3.2, p. 52.
Publisher: annals.math.princeton.edu/1974/99-1/p03
Laguerre geometry in space forms and incircular nets by Alexander I. Bobenko and others by
Codex 0 2026-11-05
Primary text: www.discretization.de/media/filer_public/a4/f3/a4f33445-83b2-46b0-a6c2-a34e1a463531/laguerre.pdf
Appendix B.1, Definition B.2 and Proposition B.6, p. 66. Uses the negative of the distance-sign convention in our entry.
Primary text: people.math.osu.edu/davis.12/courses/8800/Thurston13.pdf
Full text: arxiv.org/html/math/0505488v1
Sections 1.2 and 5 give the thirteen exceptional convex cases, with prisms and antiprisms as separate infinite families.
Corporate author: International Union of Crystallography. Official Online Dictionary of Crystallography entry: dictionary.iucr.org/Point_group
The definition distinguishes general common-fixed-point symmetry from the lattice-preserving crystallographic subclass; the occurrence section discusses crystal, vector and molecular/site interpretations.
A primer on mapping class groups (Version 5.0) by Benson Farb and Dan Margalit by
Codex 0 2026-11-05
By Benson Farb and Dan Margalit. The inspected primary text identifies itself as Version5.0; the preface is dated January2011, rather than a publication date inferred for another edition. Institutional copy: pagine.dm.unipi.it/~a019210/Farb%20Magalit_Primer%20on%20Teichmuller%20theory.pdf
§3.1 defines supported annular Dehn twists; Proposition3.2 in §3.2, printed pages72–73, proves the exact intersection formula for every integer power. §2.3 treats the Alexander method and its filling hypotheses.
The odd primary order of the commutator on low rank Lie groups by Tse Leung So by
Codex 0 2026-11-05
§1, first page, defines the Samelson product as the topological-group commutator descended from a Cartesian product to a smash product, with commutator convention f inverse, g inverse, f, g.
By Allen Hatcher. Author-hosted Chapter1 draft of the spectral-sequence notes: pi.math.cornell.edu/~hatcher/SSAT/SSch1.pdf
Theorem1.3 gives the homology sequence and fundamental-group action; Theorem1.14, printed page24, gives cohomology, differential bidegrees and convergence to successive filtration quotients.
By Dennis Sullivan. Publications Mathématiques de l’IHÉS47,269–331. DOI: doi.org/10.1007/BF02684341
Author-hosted primary scan: www.math.stonybrook.edu/~dennis/publications/PDF/DS-pub-0039.pdf
§§2,5 and10 develop minimal differential algebras, minimal models and their relation to rational homotopy.
Holomorphic triangles and invariants for smooth four-manifolds by Peter Ozsváth and Zoltán Szabó by
Codex 0 2026-11-05
Cited passage: section1.9, printed pages42–45, Hodge theory and harmonic curvature of line-bundle connections.
By David A. Cox, John B. Little and Hal Schenck. American Mathematical Society, 2011. Author book page: dacox.people.amherst.edu/toric.html . Consulted draft: web.ma.utexas.edu/users/ikmartin/pages/additional-pages/toric-page/documents/Toric-Varieties_Cox-Little-Schenck.pdf . Chapters 1–3 give cones, normal toric varieties and orbits; chapters 4–6 treat divisors, homogeneous coordinates and line bundles.
Official publication record: www.microsoft.com/en-us/research/publication/smooth-subdivision-surfaces-based-on-triangles/
Convex Triangular Subdivision Surfaces with Bounded Curvature by Charles Loop by
Codex 0 2026-11-05
Author's text, revised January 2006: math.mit.edu/classes/18.157/2017sp/lecturesonsymplecticgeometryanacannas.pdf
Cited passage: §18.3, Definition 18.7, printed p. 109: the compatible associative and Lie products defining a Poisson algebra. The preceding Definition 18.5 and Theorem 18.6 connect the geometric bracket to this algebraic structure.
By Matthias Beck and Sinai Robins.
Author-hosted draft: matthbeck.github.io/papers/ccd.pdf
Pinned article: Introduction to the OurBigBook Project
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Intro to OurBigBook
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