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.