Subject: new Hopf listings
From: Mark Hovey
Date: 15 Oct 2004 14:36:31 -0400
As you have heard from Clarence, the Hopf Archive is now a virtual
server on the Purdue Math Department's server. This means there is no
more ftp access to Hopf, only web access. Also, because of this
changeover, my October message was a bit delayed.
3 new papers this month, from Blanc, Devinatz, and Kuhn.
Mark Hovey
New papers appearing on hopf between 9/2/04 and 10/15/04
1.
http://hopf.math.purdue.edu/cgi-bin/generate?/Blanc/mod03
Moduli spaces of homotopy theory
by David Blanc
Dept. of Mathematics, Univ. of Haifa, 31905 Haifa, Israel
E-mail address: blanc@math.haifa.ac.il
The moduli spaces refered to are topological spaces whose path components
parametrize homotopy types. Such objects have been studied in two separate
contexts: rational homotopy types, in the work of several authors in the late
1970's; and general homotopy types, in the work of Dwyer-Kan and their
collaborators. We here explain the two approaches, and show how they may be
related to each other.
2.
http://hopf.math.purdue.edu/cgi-bin/generate?/Devinatz/homotopydev
Title: Homotopy groups of homotopy fixed point spectra associated
to E_n
Author: Ethan Devinatz
e-mail: devinatz@math.washington.edu
Abstract: We compute the mod(p) homotopy groups of the continuous homotopy
H_2 fixed points of E_2 for p>2, where E_n is the Landweber exact spectrum
whose coefficient ring is the ring of functions on the Lubin-Tate moduli
space of lifts of height n formal group laws, and H_n is the semi-direct
product of the group of diagonal matrices in the nth Morava stabilizer
group with an appropriate Galois group. We examine some consequences
of this related to Brown-Comenetz duality and to finiteness properties
of homotopy groups of K(n)_*-local spectra. We also indicate a plan
for generalizing this computation to n>2.
3.
http://hopf.math.purdue.edu/cgi-bin/generate?/Kuhn/Kinosaki
Title: Goodwillie towers and chromatic homotopy: an overview
Author: Nicholas J. Kuhn
Email:njk4x at virginia.edu
Address: University of Virginia, Charlottesville, VA 22904
arXive no: math.AT/0410342
Abstract: 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.
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There is a web form for submitting papers to Hopf on this site as well.
You should submit an abstract as well. Clarence has explicit
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http://hopf.math.purdue.edu/new-html/submissions.html
In particular, your abstract is meant to be read by humans, so should be
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The largest archive of math preprints is at
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There is an algebraic topology section in this archive. The most useful
way to browse it or submit papers to it is via the front end developed
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