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Notes from Andrew Blumberg's class on equivariant homotopy theory
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1_17_overview.tex
1_19_homotopy_theory_of_g_spaces.tex
1_24_orbit_category.tex
1_26_bredon_cohomology.tex
1_31_smith_theory.tex
2_14_homotopy_theory_of_spectra.tex
2_16_equivariant_stable_category.tex
2_21_wirthmuller.tex
2_23_tom_dieck.tex
2_24_q_and_a.tex
2_28_burnside.tex
2_2_q_and_a.tex
2_2_sullivan.tex
2_7_stable_category.tex
2_9_burnside.tex
2_9_diagram_spectra.tex
3_21_eilenberg_mac_lane.tex
3_23_burnside_computation.tex
3_23_constant_computation.tex
3_2_mackey_functors.tex
3_30_multiplicative_structure.tex
3_7_brown_representability.tex
4_11_more_multiplicative_structure.tex
4_13_composition_and_bispans.tex
4_18_evens_norm.tex
4_20_change_of_universe.tex
4_20_equivariant_gamma_spaces.tex
4_25_norm_consequences.tex
4_27_tate_spectra.tex
5_15_homotopy_fixed_points.tex
5_2_slice.tex
ESHT_Pulp_Cover.pdf
README.md
gitinfo2_hook.txt
install_hooks.sh
introduction.tex
m392c_EHT_notes.tex
macros.tex
references.bib
style_EHT.cls
todos.txt
uninstall_hooks.sh

README.md

Equivariant Stable Homotopy Theory Notes

This repository holds lecture notes for Andrew Blumberg's class on equivariant homotopy theory at UT Austin in Spring 2017. This repo holds the source code, in .tex, .bib, and .cls files; the compiled PDF is available here.

These notes were live-TeXed each day in class, then edited afterwards to correct typos, add references, etc. If you find typos or errors, you can email me to let me know, or just submit a pull request directly.

Now that the semester is over, the notes have been cleaned up a bit. If you'd like to see what we covered in a given lecture, here's a version of the PDF indexed by lecture.

Organization

  • The main file, m392c_EHT_notes.tex, is a skeleton: it lists the lecture names and \inputs the other files.
  • The style_EHT.cls file contains some stylistic changes as well as a bunch of useful macros.
  • The macros.tex file contains additional macros.
  • The references are stored in BibTeX format in references.bib.
  • Each section is placed in its own .tex file. Consult m392c_EHT_notes.tex to see which section corresponds to which file.

If you want to add a macro, add it to macros.tex, rather than the .cls file. If it's a common macro, it might already be defined there. If you want to add a reference, just append it to references.bib.

Note: though indexing has been set up, the custom macros are currently somewhat fragile across line breaks or in footnotes. In those cases, \index always works.

Git hooks

Using the Git hooks provided by the gitinfo2 package, it's possible for the PDF to show which commit it was compiled from. This is optional: if you want to set it up, run the command bash install_hooks.sh. Then, the title page will show the hash and time of the last commit and whether there have been any uncommited changes. This could be useful for comparing different versions of the notes. If at any point you want to disable this feature, run bash uninstall_hooks.sh. Of course email me if you have any questions.

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