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Notes from Andrew Blumberg's class on equivariant homotopy theory
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.gitignore added description of KR-theory Jul 7, 2017
1_17_overview.tex fixed error in \term definition for indexing. still very fragile Jun 27, 2017
1_19_homotopy_theory_of_g_spaces.tex a few general fixes including consistent Mackey functor notation Jul 22, 2017
1_24_orbit_category.tex fixing a CITEME Oct 9, 2017
1_26_bredon_cohomology.tex
1_31_smith_theory.tex a few general fixes including consistent Mackey functor notation Jul 22, 2017
2_14_homotopy_theory_of_spectra.tex
2_16_equivariant_stable_category.tex added reference to AMGR Dec 7, 2017
2_21_wirthmuller.tex partial cleanup of H^{*,*}(pt, Z) Sep 9, 2017
2_23_tom_dieck.tex Fix a missing Sigma, and move a G superscript May 28, 2019
2_24_q_and_a.tex
2_28_burnside.tex Update 2_28_burnside.tex Oct 3, 2019
2_2_q_and_a.tex
2_2_sullivan.tex completed indexing for chapter 1 Jun 26, 2017
2_7_stable_category.tex a few general fixes including consistent Mackey functor notation Jul 22, 2017
2_9_burnside.tex fixed error in \term definition for indexing. still very fragile Jun 27, 2017
2_9_diagram_spectra.tex a few general fixes including consistent Mackey functor notation Jul 22, 2017
3_21_eilenberg_mac_lane.tex added some references on equivariant infinite loop space theory Nov 28, 2017
3_23_burnside_computation.tex partial cleanup of H^{*,*}(pt, Z) Sep 9, 2017
3_23_constant_computation.tex added two references for example computations Oct 6, 2017
3_2_mackey_functors.tex removed redefinition of ", which caused issues with tikzcd Nov 7, 2019
3_30_multiplicative_structure.tex two more papers independently proving Blumberg-Hill conjecture Jul 11, 2017
3_7_brown_representability.tex
4_11_more_multiplicative_structure.tex partial cleanup of H^{*,*}(pt, Z) Sep 9, 2017
4_13_composition_and_bispans.tex Merge branch 'master' of https://github.com/adebray/equivariant_homot… Sep 9, 2017
4_18_evens_norm.tex finished indexing for chapter 4 Jun 27, 2017
4_20_change_of_universe.tex fixed mistake in Exercise 4.6.4 Sep 29, 2019
4_20_equivariant_gamma_spaces.tex
4_25_norm_consequences.tex Merge branch 'master' of https://github.com/adebray/equivariant_homot… Sep 9, 2017
4_27_tate_spectra.tex finished indexing for chapter 5 Jun 27, 2017
5_15_homotopy_fixed_points.tex added two references for example computations Oct 6, 2017
5_2_slice.tex
ESHT_Pulp_Cover.pdf
README.md fixed indexing typos P-Z Jun 27, 2017
gitinfo2_hook.txt set up git version info through git hooks Feb 22, 2017
install_hooks.sh set up git version info through git hooks Feb 22, 2017
introduction.tex just updating acknowledgements Oct 13, 2019
m392c_EHT_notes.tex partial cleanup of H^{*,*}(pt, Z) Sep 9, 2017
macros.tex removed redefinition of ", which caused issues with tikzcd Nov 7, 2019
references.bib
style_EHT.cls
todos.txt updating the 'thanks to...' line Sep 29, 2019
uninstall_hooks.sh set up git version info through git hooks Feb 22, 2017

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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