Subject: new Hopf listings
From: Mark Hovey
Date: 09 Jun 2007 07:34:55 -0400
4 new papers this month, from Arone-Dwyer-Lesh, Bendersky-DavisD,
Karoubi, and Wuethrich.
Mark Hovey
New papers appearing on hopf between 5/14/07 and 6/8/07
1.
http://hopf.math.purdue.edu/cgi-bin/generate?/Arone-Dwyer-Lesh/LoopStructuresTaylorTowers
Title
Loop structures in Taylor towers
Authors
G. Z. Arone, W. G. Dwyer, K. Lesh
Kerchof Hall, U. of Virginia, P.O. Box 400137, Charlottesville VA 22904
USA
Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556
Department of Mathematics, Union College, Schenectady, NY 12308
Abstract
We study spaces of natural transformations between homogeneous
functors in Goodwillie's calculus of homotopy functors and in
Weiss's orthogonal calculus. We give a description of
such spaces of natural transformations in terms of the homotopy
fixed point construction. Our main application is a delooping
theorem for connecting maps in the Goodwillie tower of the identity
and in the Weiss tower of BU(V). The interest in such deloopings
stems from conjectures made by the first and the third author
in a 2007 paper that these towers provide a source of
contracting homotopies for certain projective chain complexes
of spectra.
2.
http://hopf.math.purdue.edu/cgi-bin/generate?/Bendersky-DavisD/DW2
v1-periodic homotopy groups of the Dwyer-Wilkerson space
Martin Bendersky
Donald M. Davis
Abstract:
The Dwyer-Wilkerson space DI(4) is the only exotic 2-compact group.
We compute its v1-periodic homotopy groups.
3.
http://hopf.math.purdue.edu/cgi-bin/generate?/Karoubi/Karoubi
Cochaines quasi-commutatives en Topologie Algebrique
Max Karoubi
Abstract : We describe a new category of "quasi-commutative" DGA's ,
called D*, where the product is "almost" commutative : it is commutative
on a subcomplex of C = D* tensor D* (with some axioms). To each
simplicial set (or even ringed space) we associate a quasi-commutative
DGA, from which we recover the homotopy type and are able to describe an
explicit procedure to "compute" homotopy groups and cohomology
operations. The basic idea of the construction is to use difference
calculus, instead of differential calculus as in Sullivan's
theory. This paper is an extension of ideas posted in the Archives
a few years ago under the title "Methodes quantiques en Topologie
Algebrique". However, the point of view is simpler and the proofs are
now complete. It is going to appear in the Quarterly Journal of Pure and
Applied Math.
4.
http://hopf.math.purdue.edu/cgi-bin/generate?/Wuethrich/thickenings_final
Title: Infinitesimal thickenings of Morava K-theories (final version)
Author: Samuel Wuethrich
AMS classification number: 55P42, 55P43; 55U20, 55N22
arXive submission number: math.AT/0607110
Comments:
25 pages. Final version, to appear in J. Pure Appl. Algebra.
Contents of former section 5 mostly rewritten and reorganized
into two sections; some minor corrections and changes
Abstract:
A. Baker has constructed certain sequences of cohomology theories
which interpolate between the Johnson-Wilson and the Morava
K-theories. We realize the representing sequences of spectra as
sequences of MU-algebras. Starting with the fact that the spectra
representing the Johnson-Wilson and the Morava K-theories admit
such structures, we construct the sequences by inductively
forming singular extensions. Our methods apply to other pairs of
MU-algebras as well.
---------------------Instructions-----------------------------
To subscribe or unsubscribe to this list, send a message to Don Davis at
dmd1@lehigh.edu with your e-mail address and name.
Please make sure he is using the correct e-mail address for you.
To see past issues of this mailing list, point your WWW browser to
http://math.wesleyan.edu/~mhovey/archive/
If this doesn't work or is missing a few issues, try
http://www.lehigh.edu/~dmd1/algtop.html
which also has the other messages sent to Don's list.
To get the papers listed above, point your Web browser to the URL
listed. The general Hopf archive URL is
http://hopf.math.purdue.edu
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
instructions for the form of this abstract: see
http://hopf.math.purdue.edu/new-html/submissions.html
In particular, your abstract is meant to be read by humans, so should be
as readable as possible. I reserve the right to edit unreadable
abstracts. You should then e-mail Clarence at wilker at math.purdue.edu
telling him what you have uploaded.
The largest archive of math preprints is at
http://arxiv.gov
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
by Greg Kuperberg:
http://front.math.ucdavis.edu
To get the announcements of new papers in the algebraic topology section
at the arXiv, send e-mail to math@arxiv.org with subject line "subscribe"
(without quotes), and with the body of the message "add AT" (without
quotes).
I am solely responsible for these messages---don't send complaints
about them to Clarence. Thanks to Clarence for creating and maintaining
the archive.