new preprint

new preprint

[I. Moerdijk]

Dear categorists,

The following preprint is available from the 
K-Theory archive at <http://www.math.uiuc.edu/K-theory>, 
and hopefully from our homepages before long. Please 
let us know in case you wish to be sent a hard copy.

Ieke Moerdijk.
---------------------
A Homology Theory for Etale Groupoids
       by Marius Crainic and Ieke Moerdijk

In this paper we introduce a homology theory for etale groupoids, dual to
Haefliger's cohomology theory (via Poincare duality).  We prove basic facts
like Morita invariance, Leray spectral sequence, Verdier duality. We also
outline the application to the computation of cyclic homology of the
convolution algebra of the groupoid (including the non-Hausdorff situation).
An appendix about "compact supports" on non-Hausdorff manifolds is added.

Marius Crainic <crainic@math.ruu.nl>
Ieke Moerdijk <moerdijk@math.ruu.nl>
--------------------

New Preprint

[Ronnie Brown]

New preprint

R. Brown and I. Icen. 
"Lie local subgroupoids and their monodromy", 
UWB Math Preprint 98.15, 12pp. 
ABSTRACT:The notion of local equivalence relation on a topological 
space is generalised to that of local 
subgroupoid. Properties of coherence are considered. The main result is 
notions of holonomy and monodromy groupoid for certain Lie local 
subgroupoids.

http://www.bangor.ac.uk/~mas010/papers/sub6.ps,.dvi


Prof R. Brown, School of Mathematics, 
University of Wales, Bangor      
Dean St., Bangor, Gwynedd LL57 1UT, United Kingdom                               
Tel. direct:+44 1248 382474|office:     382475
fax: +44 1248 383663    
World Wide Web:
home page: http://www.bangor.ac.uk/~mas010/


Symbolic Sculpture and Mathematics:
http://www.bangor.ac.uk/SculMath/
Mathematics and Knots:
http://www.bangor.ac.uk/ma/CPM/exhibit/welcome.htm