Here are the February papers on Hopf, of which there are 9.  So far this
"monster snowstorm" hasn't amounted to much, but the real action is
supposed to be tonight and tomorrow. 

Mark Hovey

New papers appearing on hopf between 2/3/01 and 3/5/01

1.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Clarke-Crossley-Whitehouse/KKbases

Bases for cooperations in $K$-theory

Francis Clarke, M. D. Crossley and Sarah Whitehouse

Primary:   55S25; % K-theory operations and generalized cohomology operations
Secondary: 19L64, % Computations, geometric applications
	   11B65. % Binomial coefficients; factorials; q-identities

Department of Mathematics, University of Wales Swansea,
Swansea SA2 8PP, Wales

Laboratoire de G\'eom\'etrie-Alg\`ebre, Universit\'{e}
d'Artois, 62307 Lens, France

F.Clarke@Swansea.ac.uk 
M.D.Crossley@Swansea.ac.uk 
whitehouse@euler.univ-artois.fr

    Gaussian polynomials are used to define bases with good
    multiplicative properties for the algebra $K_{*}(K)$ of
    cooperations in $K$-theory and for the invariants under
    conjugation.

2.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Devoto/elbg-disc

Title of Paper: On the elliptic cohomology of the classifying space of
discrete groups

Author: Jorge A. Devoto

AMS Classification: 20J06, 55N34

Addresses of authors: Dept.\ de Matem\'aticas, ITBA, Av. E. Madero 399, Buenos
  Aires, Argentina and Dept.\ de Matem\'aticas, FCEN, Ciudad Univ. (1428)
  Buenos Aires, Argentina

e-mail: jdevoto@itba.edu.ar

We study, for $\Gamma$ a discrete group of finite virtual cohomological
dimension, the elliptic cohomology of the classifying space $B\Gamma$.

3.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Larusson/excision

Title:  Excision for simplicial sheaves on the Stein site
and Gromov's Oka Principle 
Author:  Finnur Larusson

This is an updated version of a paper announced last month, with the
same abstract, so the abstract is omitted. 

4.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/McClure-SmithJH/deligne-conj

(This is also an updated version, but the previous version was announced
in 10/99, so I include the abstract).  

A solution of Deligne's Hochschild cohomology conjecture.

James E. McClure and Jeffrey H. Smith

ABSTRACT: Deligne asked in 1993 whether the Hochschild cochain complex
of an associative ring has a natural action by the singular chains of
the little 2-cubes operad.  In this paper we give an affirmative
answer to this question.  We also show that the topological Hochschild
cohomology spectrum of an associative ring spectrum has an action by
an operad that is equivalent to the little 2-cubes operad.

5.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Neusel/bertin

AUTHOR: Mara D. Neusel
TITLE:  The Transfer in the Invariant Theory of 
        Modular Permutation Representations (Trente Ans Apr\`es)

        Pacific Journal of Mathematics
             -- to appear --

This note investigates the image of the transfer homomorphism for
permutation representations of finite groups over finite fields. One
obtains a number of results showing that the image of the transfer $\Im
(\Tr)$ together with certain Chern classes generate the ring of
invariants as an algebra. By a careful analysis of orbit sums one finds
the surprising fact that the ideal $\Im (\Tr)$ is a prime ideal for
cyclic $p$-groups and determines an upper bound on its height.

AMS CODE:  13A50 Invariant Theory
KEY WORDS: Polynomial Invariants of Finite Groups, Permutation
           Representation, Transfer, $p$-Regular Representation

neusel.1@nd.edu

6.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Neusel/bertin2

AUTHOR: Mara D. Neusel
TITLE:  The Transfer in the Invariant Theory of
        Modular Permutation Representations II (Trente Ans Apr\`es, Bis)

           Canadian Mathematical Bulletin
                  -- to appear --

In this note we show that the image of the transfer for permutation
representations of finite groups is generated by the transfers of
special monomials. This leads to a description of the image of the
transfer of the alternating groups. We also determine the height of
these ideals.

AMS CODE:  13A50 Invariant Theory
KEY WORDS: Polynomial Invariants of Finite Groups, Permutation
           Representation, Transfer

neusel.1@nd.edu

7.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Neusel/kokusu

AUTHOR: Mara D. Neusel
TITLE:  The Lasker-Noether Theorem in the Category $U(\H^*)$ 
	(denizin kokusu)

	Journal of Pure and Applied Algebra
	      -- to appear --

We prove the Lasker-Noether Theorem in the category $U(\H^*)$ of
unstable $\H^*\odot \P^*$-modules. Along the way, we generalize 
Lam's $\J$-functor to the context of modules.

AMS CODE:  55S10 Steenrod Algebra, 13A50 Invariant Theory, 
	   13XX Commutative Rings and Algebras, 55XX Algebraic Topology
KEY WORDS: Lasker-Noether Theorem, Unstable Modules, Steenrod
	   Algebra, Dickson Algebra, Polynomial Invariants of Finite Groups

neusel.1@nd.edu

8.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Neusel/strassen

AUTHOR: Mara D. Neusel
TITLE:  Lots of Degree Bounds
	         or
	On the Use of the T-Functor in Invariant Theory

We introduce a new method employing J. Lannes's $T$-functor
to describe homological properties of rings of invariants. 
We illustrate the power of this method by applying it to the 
calculation of degree bounds. We find seven bounds: two for
special families of representations, two relative bounds, two general
degree bounds and a general bound for $p$-groups.

AMS CODE:  13A50 Invariant Theory, 55S10 Steenrod Algebra, 55XX Algebraic Topology
KEY WORDS: Invariant Theory of Finite Groups, Degree Bounds, $T$-Functor, 
	   Integral Closure, $P^*$-inseparable Closure, Cohen-Macaulay, 
	   Gorenstein, Depth, Modular Invariant Theory

neusel.1@nd.edu

9.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Neusel/uncoma

AUTHOR: Mara D. Neusel
TITLE:  Unstable Cohen--Macaulay Algebras

	  Mathematical Research Letters
	       -- to appear --
        
We characterize Cohen--Macaulay algebras in the category $K_{fg}$ of
unstable Noetherian algebras over the Steenrod algebra via the depth of
the $P^*$-invariant ideals. This allows us to transfer the
Cohen--Macaulay property to suitable subalgebras. We apply this to rings
of invariants of finite groups and to the $P^*$-inseparable closure.

AMS CODE:  55S10 Steenrod Algebra, 13XX Commutative Rings and Algebras,
55XX Algebraic Topology} 
KEY WORDS: Steenrod Algebra, Cohen--Macaulay Algebras, Unstable
           Algebras, $P^*$-Invariant Prime Ideal Spectrum,
           $P^*$-Inseparable Closure, Polynomial Invariants of Finite Groups

neusel.1@nd.edu