Subject: new Hopf listings
From: Mark Hovey
Date: 29 Sep 2000 04:46:48 -0400
Two new papers this time.
Mark Hovey
New papers appearing on hopf between 9/14/00 and 9/28/00.
1.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Lundell/stircenid1
Title: Stirling and Central Factorial Number Identies
Author: Albert T. Lundell
Address: Department of Mathematics, Box 395
University of Colorado
Boulder, Colorado 80309
E-mail: lundell@euclid.colorado.edu
This paper contains many identities related to Stirling numbers and central
factorial numbers, with an emphasis toward divisibility properties. The paper
is self-contained and contains proofs of the identities. There is a short
section relating these numbers to the James numbers U(n,r), i.e., the index of
p_*(\pi_{2n-1}(W_{n,r})\subset\pi_{2n-1}(S^{2n-1}), where p:W_{n,r}\arrow
S^{2n-1} is the fibration of complex Stiefel manifolds.
2.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Menichi/Free_Loop
Title: The cohomology ring of free loop spaces
Author: Luc Menichi
AMS classification numbers: 55P35, 16E40, 55P62, 57T30, 55U10.
address: Universite d'Angers
Faculte des Sciences
Departement de Mathematiques
2 Boulevard Lavoisier
49045 ANGERS Cedex 01 - FRANCE
Luc.Menichi@univ-angers.fr
Abstract:
Let $X$ be a simply connected space and $\Bbbk$ a commutative ring.
Goodwillie, Burghelea and Fiedorowiscz proved that the Hochschild
cohomology of the singular chains on the pointed loop space
$HH^{*}S_*(\Omega X)$ is isomorphic to the free loop space
cohomology $H^{*}(X^{S^{1}})$.
We proved that this isomorphism is compatible with both
the cup product on $HH^{*}S_*(\Omega X)$ and on $H^{*}(X^{S^{1}})$.
In particular, we explicit the algebra $H^{*}(X^{S^{1}})$
when $X$ is a suspended space, a complex projective space
or a finite CW-complex of dimension $p$ such
that $\frac {1}{(p-1)!}\in {\Bbbk}$.
---------------------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 (Netscape<
Internet Explorer) to the URL listed. The general Hopf archive URL is
http://hopf.math.purdue.edu
There are links to 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.