Goodwillie towers and chromatic homotopy: an overview

By N. Kuhn. 2004

79 citations recorded by the source corpus.

This paper is based on talks I gave in Nagoya and Kinosaki in August of 2003. I survey, from my own perspective, Goodwillie's work on towers associated to continuous functors between topological model categories, and then include a discussion of applications to periodic homotopy as in my work and the work of Arone-Mahowald.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/40945e7dbae0c13fbc19a7e1d0889771c12a1bda

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Kathryn Hess
2. B. Munson
3. John E. Harper
4. Ismar Volic
5. David White

In Geometry and Topology

1. Kathryn Hess
2. B. Munson
3. John E. Harper
4. Ismar Volic
5. Dev Sinha
6. David White

In Mathematical Physics

1. Kathryn Hess
2. B. Munson
3. John E. Harper
4. Ismar Volic
5. David White
6. Dev Sinha

Citations in the corpus

• Homotopy completion and topological Quillen homology of structured ring spectra (2011, background): “From now on in this paper, we assume that R is any commutative ring spectrum; i.e., we assume that R is any commutative monoid object in the category (SpΣ,⊗S , S) of symmetric spectra [39, 68].”
• Cubical Homotopy Theory (2015, background): “The main references we draw from are Goodwillie’s foundational papers [Goo92, Goo03] (see also [Kuh07] for a nice overview of the theory).”