[Math] Examples of (Git) open math (texts) projects

big-listmathematical-writingonline-resourcessoft-question

I am an active part of a research project on the positive effects of open math projects on the community. With open math projects I have in mind a particular thing, namely a GIT project on mathematics in which everyone can contribute and the final result is a collaborative text about some part of mathematics. The obvious examples are The stacks project, The HoTT book, Open logic project. I would like to know other examples of this kind of project. I am specially interested in those projects that have already finished (succeeded).

Best Answer

Here are six fairly specific examples that I know of; in each case, the writers have welcomed collaboration.

  1. Eric Peterson's formal geometry notes, on using bordism operations and some formal algebraic geometry in homotopy theory. Though the class is complete, the notes are still in progress.
  2. Eric Peterson's vector fields on spheres notes, from a class taught by Haynes Miller. These notes are still in progress.
  3. Sanath Devalapurkar's notes from two algebraic topology classes taught by Haynes Miller.
  4. Andy Neitzke's notes on applications of quantum field theory to geometry, for a class currently being taught at UT Austin (so the notes are still in progress).
  5. Andy Neitzke's notes on the moduli space of Higgs bundles, from a class taught a few years ago.
  6. My notes on equivariant homotopy theory, from a class taught by Andrew Blumberg. The notes are stable, but not completed.
Related Question