Subject: [dmd1@lehigh.edu (DONALD M. DAVIS)] new Hopf listings
From: Mark Hovey
Date: 08 Jul 2006 10:56:16 -0400
There are 7 new papers this time, from Biedermann, Blanc,
Oliver-Ventura, Shipley, Stacey-Whitehouse, Wuethrich, and YauD.
Mark Hovey
New papers appearing on hopf between 6/5/06 and 7/8/06
1.
http://hopf.math.purdue.edu/cgi-bin/generate?/Biedermann/presh-n-types
Title: On the homotopy theory of n-types
Author: Georg Biedermann
Mail address: Dep. of Mathematics, Middlesex College, UWO, London,
Ontario, N5X 2W8, Canada
Abstract:
We achieve a classification of n-types of simplicial presheaves in terms
of (n-1)-types of presheaves of groupoids enriched in simplicial
sets. This can be viewed as a different description of the homotopy
theory of higher hyperstacks. As a special case we obtain a good
substitute for the homotopy theory of (weak) higher groupoids.
2.
http://hopf.math.purdue.edu/cgi-bin/generate?/Blanc/comp
Title: Comparing homotopy categories
Author: David Blanc
Address: Department of Mathematics
University of Haifa
31905 Haifa
Israel
Abstract:
Given a suitable functor T:C -> D between model categories, we
define a long exact sequence relating the homotopy groups of any
X in C with those of TX, and use this to describe an
obstruction theory for lifting an object G in D to C.
Examples include finding spaces with given homology or homotopy groups.
3.
http://hopf.math.purdue.edu/cgi-bin/generate?/Oliver-Ventura/ov1
Extensions of linking systems with $p$-group kernel
Bob Oliver and Joana Ventura
LAGA Departamento de Matem\'atica
Institut Galil\'ee Instituto Superior T\'ecnico
Av. J-B Cl\'ement Av. Rovisco Pais
93430 Villetaneuse, France 1049--001 Lisboa, Portugal
bobol@math.univ-paris13.fr jventura@math.ist.utl.pt
Subject class: Primary 55R35. Secondary 55R40, 20D20
Keywords: Classifying space, $p$-completion, finite groups, fusion.
Abstract: We study extensions of $p$-local finite groups where the kernel
is a $p$-group. In particular, we construct examples of saturated fusion
systems $\calf$ which do not come from finite groups, but which have
normal $p$-subgroups $A\nsg\calf$ such that $\calf/A$ is the fusion system
of a finite group. One of the tools used to do this is the concept of a
``transporter system'', which is modelled on the transporter category of a
finite group, and is more general than a linking system.
4.
http://hopf.math.purdue.edu/cgi-bin/generate?/Shipley/zdga17
Title: HZ-algebra spectra are differential graded algebras
Author: Brooke Shipley
Abstract: We show that the homotopy theory of differential graded algebras
coincides with the homotopy theory of HZ-algebra spectra. Namely, we
construct Quillen equivalences between the Quillen model categories
of (unbounded) differential graded algebras and HZ-algebra spectra.
We also construct Quillen equivalences between the differential graded
modules and module spectra over these algebras. We use these equivalences
in turn to produce algebraic models for rational stable model categories.
We show that basically any rational stable model category is Quillen
equivalent to modules over a differential graded Q-algebra (with many
objects).
5.
http://hopf.math.purdue.edu/cgi-bin/generate?/Stacey-Whitehouse/deloopv2
Title: Stable and Unstable Operations in mod p Cohomology Theories
Authors: Andrew Stacey and Sarah Whitehouse
Abstract:
We consider operations between two multiplicative,
complex orientable cohomology theories. Under suitable
hypotheses, we construct a map from unstable to stable
operations, left-inverse to the usual map from stable to
unstable operations. The main example is where the target
theory is one of the Morava K-theories in which case our
map is closely related to the Bousfield-Kuhn functor.
Resubmitted to correct font generation problem with the
conversion to postscript and PDF.
6.
http://hopf.math.purdue.edu/cgi-bin/generate?/Wuethrich/thickenings
Title: Infinitesimal thickenings of Morava K-theories
Author: Samuel Wuethrich
Abstract: A. Baker has constructed certain sequences of cohomology
theories which interpolate between the Johnson-Wilson and the Morava
K-theories. We realize the representing sequences of spectra as
sequences of MU-algebras. Starting with the fact that the spectra
representing the Johnson-Wilson and the Morava K-theories admit such
structures, we construct the sequences by inductively forming singular
extensions. Our methods apply to other pairs of MU-algebras as well.
7.
http://hopf.math.purdue.edu/cgi-bin/generate?/YauD/GD2
Title: Gerstenhaber structure and Deligne's conjecture for Loday algebras
Author: Donald Yau
Abstract: A method for establishing a Gerstenhaber algebra structure on
the cohomology of Loday-type algebras is presented. This method is then
applied to dendriform dialgebras and three types of trialgebras
introduced by Loday and Ronco. Along the way, our results are combined
with a result of McClure-Smith to prove an analogue of Deligne's
conjecture for Loday algebras.
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