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Some useful links for equivariant topology

Manchester page on
real representations of finite groups 2008.

A useful collection of basic facts with real (as opposed to the usual complex) character tables.

ON THE NON-EXISTENCE OF ELEMENTS OF KERVAIRE INVARIANT ONE, 158 pages.

The Hill-Hopkins-Ravenel preprint of 2010.

Mike Hopkins' course on Equivariant Stable Homotopy Theory at Harvard, Fall 2011.

This includes two sets of notes taken by Kyle Ormsby and Chris Schommer-Pries.

Adams on equivariant homotopy theory, 1982, 50 pages.

Frank Adams was a master of exposition and an outstanding citizen as well as a great mathematican. These notes were written to help people understand Gunnar Carlsson's proof fo the Segal Conjecture in 1982, the first major application of equivariant homotopy theory.

My Arf-Kervaire invariant page.

This page has links to numerous talks and papers about the history and background of the problem.

My graduate course on the Kervaire invariant
at UR, Spring 2010.

A detailed account of the proof of the HHR theorem.

Equivariant stable homotopy theory by John Greenlees and J. Peter May, 1995.

A very helpful introduction to the subject.

Equivariant orthogonal spectra by Michael A. Mandell and J. Peter May, 2002. See also EQUIVARIANT ORTHOGONAL SPECTRA, 2010, a 39 page version of the above written for the MSRI workshop (also see this link).

Reference for the definition of equivariant spectra used in our paper.

An Atiyah-Hirzebruch spectral sequence for KR-theory by Daniel Dugger, 2003.

A special case of the slice spectral sequence used in our preprint.

SOME REMARKS ON THE STRUCTURE OF MACKEY FUNCTORS by John Greenlees and J. Peter May, 1992.

A short easy to read paper that I will ask one of you to give a talk on.

THE EQUIVARIANT SLICE FILTRATION: A PRIMER
by Michael A. Hill

An introduction to the equivariant slice filtration.

Mackey Functors In Equivariant Homotopy and Cohomology Theory
by Carolyn Yarnall

Slides for a talk on June 18, 2011.

Equivariant homotopy and cohomology theory
  by J. P. May (Alaska notes, 1993)
  1   2   3   4   5   6

A very comprehensive introduction to the subject. Eilenberg-Mac Lane spectra for Mackey functors are constructed in XIII.4, starting on page 162 of 3.

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