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
The original scan exceeds the web extractor size limit; the theorem statement and proof were read in the retypeset original text. Locate by theorem number because the retypeset pagination differs.
Sections 1.2 and 5 give the thirteen exceptional convex cases, with prisms and antiprisms as separate infinite families.
The definition distinguishes general common-fixed-point symmetry from the lattice-preserving crystallographic subclass; the occurrence section discusses crystal, vector and molecular/site interpretations.
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.
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
§§2,5 and10 develop minimal differential algebras, minimal models and their relation to rational homotopy.
Cited passage: Theorem3.7, exceptional cobordism blowup maps; section10.1 for the mixed-invariant application. The arXiv version is distinguished from its later journal publication.
Cited passage: section3.3, Theorem3.3.4 (Ehresmann), printed pages63–64 in the current author-hosted version. No publication date is inferred.
Cited passages: section1.2, Theorems1.7,1.10,1.12 and Example1.13; reflexivity, contact loci and nonlinear curves.
Master's thesis, Department of Mathematics, University of Utah. The publication page confirms author, title and year; its large PDF was not accessible through the browser during this review. The original-mask formulas are instead checked against Loop's accessible 2000 report.
Cited passages: section 2, Loop's algorithm and original masks; sections 3–4, especially Remark 1, original central weight alpha, lambda0=5/8 and lambda1=3/8+(1/4)cos(2pi/n); introduction, regular and extraordinary vertices.
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.
The book page identifies the second edition as 2015; the consulted draft title page is dated 19 June 2020. These are distinct dates. Cited passages: §3.3, Theorem 3.8; §3.5, leading coefficient and volume; §3.7, Theorem 3.23; §4.3, Theorem 4.1 and its proof, Ehrhart reciprocity.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact