Subject: new Hopf listings From: Mark Hovey Date: 22 Jan 1998 07:34:00 +0000 We have three new papers on Hopf this time. In addition, Clarence has gone through and checked all the URL's on hopf--there have been 3 phantom papers in the archive for quite a while now, which are now back among the living. If you have been unable to download the Hunter-Kuhn papers or the latest Duflot paper, all announced here long ago, try again now. Mark Hovey New papers uploaded to Hopf between 1/17/98 and 1/22/98: 1. ftp://hopf.math.purdue.edu/pub/Gerstenhaber-Wilkerson/dga-deform.dvi Authors: Murray Gerstenhaber and Clarence Wilkerson Title: On the deformation of rings and algebras, V: Deformation of differential graded algebras From the introduction: In this paper we consider the deformation theory of differential graded modules (DGM's) and differential graded algebras (DGA's), where only the differential varies, the underlying module or algebra structure remaining fixed. At the outset we consider only individual modules or algebras and afterwards we examine deformations of sheaves. Note: this will appear in the Stasheff Fest volume. 2. ftp://hopf.math.purdue.edu/pub/Hodgkin/KBGamma3.dvi Title: K-theory of mapping class groups III: Odd torsion Author: Luke Hodgkin Address: King's College, Strand, London WC2R 2LS, UK. Email: luke.hodgkin@kcl.ac.uk This is the long-awaited calculation of the odd-torsion in K^\ast(B\Gamma^n) (mapping-class groups for punctured spheres). The size and location of the torsion (it's all in K^1) is completely calculated, together with where it comes from and why; and there is information about the module structure over K^\ast(BSO(3)). Methods are: (a) the description of B\Gamma in terms of function spaces due to Bodigheimer,Cohen and Peim and (b) author's earlier calculation of the structure of K^\ast mod torsion (Math.Z. 218, 611-634). This is my last communication on this subject; if anyone wants to find the 2-torsion, good luck to them. (Now, that's what I call an abstract! Mark :) ) 3. ftp://hopf.math.purdue.edu/pub/Hovey-Palmieri/bousfield.dvi (This is a greatly modified version of a paper already on the archive. This version is more like John's talk at Baltimore.) Title: The structure of the Bousfield lattice Authors: Mark Hovey and John Palmieri Using Ohkawa's theorem that the collection of Bousfield classes is a set, we perform a number of constructions with Bousfield classes. In particular, we describe a greatest lower bound operator; we also note that a certain subset DL of the Bousfield lattice is a frame, and we examine some consequences of this observation. We make several conjectures about the structure of the Bousfield lattice and DL. In particular, we conjecture that DL is obtained by killing "strange" spectra, such as the Brown-Comenetz dual of the sphere. We introduce a new "Boolean algebra of spectra" cBA, which contains Bousfield's BA and is complete. Our conjectures allow us to identify cBA as being isomorphic to the complete atomic Boolean algebra on {K(n) : n>= 0}, {A(n) : n>= 2}, and HF_p. Our conjectures imply that BA is the subBoolean algebra consisting of finite wedges of the K(n) and A(n), and their complements. ---------------------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://www.cs.wesleyan.edu/Math/Guests/Mark If this doesn't work or is missing a few issues, try http://www.lehigh.edu/~dmd1/public/www-data/algtop.html , which also has the other messages sent to Don's list. To get the papers listed above, point your WWW client (Mosaic, Netscape) to the URL listed. The general Hopf archive URL is http://hopf.math.purdue.edu There are links to conference announcements, Purdue seminars, and other math related things on this page as well. You can also use ftp to hopf.math.purdue.edu, and login as ftp. Then cd to pub. Files are organized by author name, so papers by me are in pub/Hovey. If you want to download a file using ftp, you must type binary before you type get . To put a paper of yours on the archive, cd to /pub/incoming. Transfer the dvi file using binary, by first typing binary then put You should also transfer an abstract as well. Clarence has explicit instructions for the form of this abstract: see http://hopf.math.purdue.edu/pub/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@math.purdue.edu telling him what you have uploaded. I am solely responsible for these messages---don't send complaints about them to Clarence. Thanks to Clarence for creating and maintaining the archive. ------- End of forwarded message ------- ------- End of forwarded message -------