Subject: new Hopf listings From: Mark Hovey Date: 26 Feb 1998 08:14:17 +0000 -------------- We have five new papers this time. I also want to announce that I will post annoucements of new papers on the algebraic topology part of the xxx archive as well, at least when they have not previously appeared on hopf. Mark Hovey New papers uploaded to Hopf between 2/15/98 and 2/26/98: 1. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Gorbounov-Mahowald/eon2 Formal completion of the Jacobian of plane curves and higher real K-theories by V. Gorbounov and M. Mahowald. In early sixties Manin proved that every formal group of finite height defined over a field of finite characteristic is a summand in the formal completion of the Jacobian of a certain curve. It turns out that a universal lift of a formal group of height $p-1$ over an algebraically closed field of characteristic $p$ comes as a summand in the formal completion of the Jacobian of a certain curve with $p$ marked points, defined over the Lubin-Tate deformation space. These curves generalize the Legendre family of elliptic curves. As an immediate application, we will describe the representation which is crucial for calculating the initial term of the spectral sequence, converging to the homotopy groups of the higher real $K$-theories, introduced recently by Hopkins and Miller. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Hovey/mon-mod Monoidal model categories by Mark Hovey A monoidal model category is a model category with a compatible closed monoidal structure. Such things abound in nature; simplicial sets and chain complexes of abelian groups are examples. Given a monoidal model category, one can consider monoids and modules over a given monoid. We would like to be able to study the homotopy theory of these monoids and modules. This question was first addressed by Stefan Schwede and Brooke Shipley in "Algebras and modules in monoidal model categories", who showed that under certain conditions, there are model categories of monoids and of modules over a given monoid. This paper is a follow-up to that one. We study what happens when the conditions of Schwede-Shipley do not hold. This will happen in any topological situation, and in particular, in topological symmetric spectra. We find that, with no conditions on our monoidal model category except that it be cofibrantly generated and that the unit be cofibrant, we still obtain a homotopy category of monoids, and that this homotopy category is homotopy invariant in an appropriate sense. 3. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Moller/di2 Title: The 3-compact group DI(2) Author: Jesper M. M{\o}ller AMS Class: 55R35 Address: Matematisk Institut Universitetsparken 5 DK-2100 Copenhagen Denmark e-mail: moller@math.ku.dk The 3-complete space BDI(2) realizes the mod 3 rank 2 Dickson invariants. We investigate DI(2) considered as a 3-compact group. 4. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/WilsonWS/bpfromkn2 title: Brown-Peterson cohomology from Morava K-theory, II author: W. Stephen Wilson address: Johns Hopkins University, Baltimore, Maryland 21218 email: wsw@math.jhu.edu abstract: We improve on some results with Ravenel and Yagita in a paper by the same name. In particular, we generalize when injectivity, surjectivity, and exactness of Morava K-theory implies the same for Brown-Peterson cohomology. A type of flatness is no longer assumed, but instead it is a consequence of weaker assumptions. The main application is an easier proof that QS^{2k+1} has this flatness property. In addition, we show that if elements in the Brown-Peterson cohomology generate all of the Morava K-theories, then they also generate the Brown-Peterson cohomology and it is Landweber flat. 5. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/WilsonWS/knequiv Title: K(n+1) equivalence implies K(n) equivalence Author: W. Stephen Wilson Address: Johns Hopkins University, Baltimore, Maryland 21218 email: wsw@math.jhu.edu abstract: We give an entirely different proof of a recent result of Bousfield's which states that if there is a map of spaces inducing an isomorphism on the (n+1)st Morava K-theory then it also induces an isomorphism on the n-th Morava K-theory. The result relies heavily on the fundamentals introduced to prove the results in Ravenel-Wilson-Yagita which in turn relies on the forthcoming paper by Boardman-Wilson containing a generalization of Quillen's theorem that MU^*(X) is generated by non-negative degree elements when X is a finite complex. ---------------------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 -------