Subject: new Hopf listings From: Mark Hovey Date: 14 Dec 1999 16:16:26 -0500 Papers are suddenly appearing by the truckload! 6 more this time. Mark Hovey New papers uploaded to hopf between 12/10/99 and 12/14/99. 1. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Blanc/Blanc_algi Title: Algebraic invariants for homotopy types Author: David Blanc e-mail: blanc@math.haifa.ac.il ABSTRACT: We define inductively a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Pi-algebra \pi_* X - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Pi-algebra can be realized as the homotopy Pi-algebra of a space in the first place. The paper is written for a relatively general "resolution model category", so it also applies, for example, to rational homotopy types. Note: to appear in Math. Proc. Camb. Phil. Soc. 2. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Blanc/Blanc-steenrod Title: Realizing coalgebras over the Steenrod algebra Author: David Blanc e-mail: blanc@math.haifa.ac.il ABSTRACT: We describe algebraic obstruction theories for realizing an abstract coalgebra K_* over the mod p Steenrod algebra as the homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K_*. 3. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Cole/specmod Title: A model structure for inclusion prespectra in which the fibrant objects are the spectra Author: Michael Cole e-mail: matmzc@hofstra.edu ABSTRACT:We construct a Quillen closed model structure on the category of inclusion prespectra of Lewis and May for which an object is fibrant if and only if it is a spectrum. The spectrification functor from inclusion prespectra to spectra serves as a fibrant replacement functor. The homotopy category associated to this model structure is equivalent to the stable category. 4. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Rosu/ioanidellc Title: Equivariant Elliptic Cohomology and Rigidity Author: Ioanid Rosu, ioanid@math.mit.edu Equivariant elliptic cohomology with complex coefficients was defined axiomatically by Ginzburg, Kapranov and Vasserot and constructed by Grojnowski. We give an invariant definition of S^1-equivariant elliptic cohomology, and use it to give an entirely cohomological proof of the rigidity theorem of Witten for the elliptic genus. We also state and prove a rigidity theorem for families of elliptic genera. 5. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Rosu-Knutson/ioanidkt Title: Equivariant K-theory and Equivariant Cohomology Author: Ioanid Rosu, with an appendix by Allen Knutson and Ioanid Rosu ioanid@math.mit.edu allenk@math.berkeley.edu For T an abelian compact Lie group, we give a description of T-equivariant K-theory with complex coefficients in terms of equivariant cohomology. In the appendix we give applications of this by extending results of Chang-Skjelbred and Goresky-Kottwitz-MacPherson from equivariant cohomology to equivariant K-theory. 6. http://hopf.math.purdue.edu/cgi-bin/generate?/pub/ScottJA/ls-bss Algebraic Structure of the Loop Space Bockstein Spectral Sequence Jonathan A. Scott e-mail: scott@math.toronto.edu Abstract: Let X be a finite, n-dimensional, r-connected CW complex. We prove the following theorem: If p > n/r - 1 is an odd prime, then the loop space homology Bockstein spectral sequence modulo p is a spectral sequence of universal enveloping algebras over differential graded Lie algebras. ---------------------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.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 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 largest archive of math preprints is at http://xxx.lanl.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 xxx, send e-mail to math@xxx.lanl.gov 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, 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/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.