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. ---------------------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.