Subject: new Hopf listings From: Mark Hovey Date: 19 Mar 1998 09:06:44 +0000 -------------- Greg Kuperberg gave me some info on why xxx allows users to download tex source. 1. Almost every other archive except us does so--we and the K-theory archive are almost the only ones who routinely use dvi. 2. No one has reported any problems with plaigarism, and xxx is itself some defense against it, since it keeps the TeX files unchanged and dated. 3. Modern technology will soon, if it does not do so already, allow you to cut and paste from a dvi file to a tex file anyway. So I apologize for overreacting--the issue is more complicated than I originally thought. There is one new paper this time, plus the Hopkins-Palmieri-Smith paper has landed on Hopf in the expected place, as I reported it would last time. Mark Hovey New papers uploaded to Hopf (and xxx) between 3/17/98 and 3/19/98: 1. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Ravenel-Wilson-Yagita/rav-wil- yag Brown-Peterson cohomology from Morava $K$-theory This is the "final" version of this paper. It is significantly changed from the version which has been on the archive. Douglas C. Ravenel University of Rochester Rochester, New York 14627 drav@troi.cc.rochester.edu} W. Stephen Wilson Johns Hopkins University Baltimore, Maryland 21218 wsw@math.jhu.edu Nobuaki Yagita Ibaraki University Mito, Ibaraki, Japan yagita@mito.ipc.ibaraki.ac.jp We give some structure to the Brown-Peterson cohomology (or its $p$-completion) of a wide class of spaces. The class of spaces are those with Morava K-theory even dimensional. We can say that the Brown-Peterson cohomology is even dimensional (concentrated in even degrees) and is flat as a $BP^*$-module for the category of finitely presented $BP^*(BP)$-modules. At first glance this would seem to be a very restricted class of spaces but the world abounds with naturally occurring examples: Eilenberg-MacLane spaces, loops of finite Postnikov systems, classifying spaces of most finite groups whose Morava K-theory is known (including the symmetric groups), $QS^{2n}$, $BO(n)$, $MO(n)$, $BO$, $\ImJ$, etc. We finish with an explicit algebraic construction of the Brown-Peterson cohomology of a product of Eilenberg-MacLane spaces and a general K\"unneth isomorphism applicable to our situation. ---------------------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. The general xxx archive URL is http://xxx.lanl.gov. More useful is the front end developed by Greg Kuperberg: http://front.math.ucdavis.edu 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. For instructions on uploading papers to xxx, see http://front.math.ucdavis.edu 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 -------