Subject: new Hopf listings From: Mark Hovey Date: 02 Sep 2004 10:50:13 -0400 To: dmd1@lehigh.edu 4 new papers this month, from Devinatz, Dugger, IsaksenD, and Sinha. Mark Hovey New papers appearing on hopf between 8/7/04 and 9/2/04 1. http://hopf.math.purdue.edu/cgi-bin/generate?/Devinatz/recog Title: Recognizing Hopf algebroids defined by a group action Author: Ethan Devinatz e-mail: devinatz@math.washington.edu Abstract: Let A be a complete noetherian regular local ring, and suppose that S is a profinite group acting continuously on A via ring homomorphisms. Let T be the algebra of continuous functions from S to A. Then (A,T) has a canonical structure of a complete Hopf algebroid, determined by the action of S on A. We give necessary and sufficient conditions for a general Hopf algebroid to be of this form. Applications to Morava theory are also discussed. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/Dugger/milnor Title: Notes on the Milnor conjectures Author: Daniel Dugger email: ddugger@math.uoregon.edu Abstract: These are some expository notes on the two Milnor conjectures and their proofs (due to Voevodsky, Orlov-Vishik-Voevodsky, and Morel). 3. http://hopf.math.purdue.edu/cgi-bin/generate?/IsaksenD/gencohlgy Title: Generalized cohomology of pro-spectra Author: Daniel C. Isaksen E-mail: isaksen@math.wayne.edu AMS classification: 55T25, 55P42, 55U35, 55N20, 18G55 (Primary), 19L99 (Secondary) Abstract: We present a closed model structure for the category of pro-spectra in which the weak equivalences are detected by stable homotopy pro-groups. With some bounded-below assumptions, weak equivalences are also detected by cohomology as in the classical Whitehead theorem for spectra. We establish an Atiyah-Hirzebruch spectral sequence in this context, which makes possible the computation of topological K-theory (and other generalized cohomology theories) of pro-spectra. 4. http://hopf.math.purdue.edu/cgi-bin/generate?/Sinha/opknot Title: Operads and knot spaces Author: Dev Sinha E-mail: dps@math.uoregon.edu Abstract: Let F_m be the space of knotted intervals in I^m equipped with a trivialization through immersions. We show that the totalization of the Kontsevich operad provides a model for the embedding calculus tower for F_m. Combined with results of Goodwillie-Klein-Weiss and Volic, this resolves Kontsevich's conjecture of existence of such a model which captures the homotopy type of F_m when m>3 and which classifies finite-type framed knot invariants when m=3. We carefully develop the Kontsevich operad, which is closely related to the Fulton-MacPherson operad and weakly equivalent to the little cubes operad. In doing so we show that the standard simplicial model for the two-sphere carries an operad structure in the opposite category of pointed sets. We apply the well-developed machinery of McClure and Smith on operads with multiplication to deduce that our model has a little two-cubes action. (Note: if you want the dvi file to contain the figures, you need to download the directory Figures as well. The pdf file already has the figures built in.) ---------------------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 can also use ftp, explained below. 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). You can also access Hopf through ftp. 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, go to http://hopf.math.purdue.edu and use the web form. You can also use anonymous ftp as above. First 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/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@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.