Skip Navigation


Proceedings of the London Mathematical Society Advance Access originally published online on April 29, 2009
Proceedings of the London Mathematical Society 2009 99(3):697-724; doi:10.1112/plms/pdp014
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
99/3/697    most recent
pdp014v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Hollander, S.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

Geometric criteria for Landweber exactness

Sharon Hollander

Center for Mathematical Analysis
Geometry, and Dynamical Systems
IST
Technical University of Lisbon
1049-001 Lisbon
Portugal

Received 3 November 2008. Revision received 10 February 2009.

The purpose of this paper is to give a new presentation of some of the main results concerning Landweber exactness in the context of the homotopy theory of stacks. We present two new criteria for Landweber exactness over a flat Hopf algebroid. The first criterion is used to classify stacks arising from Landweber exact maps of rings. Using as extra input only Lazard's theorem and Cartier's classification of p-typical formal group laws, this result is then applied to deduce many of the main results concerning Landweber exactness in stable homotopy theory and to compute the Bousfield classes of certain BP-algebra spectra. The second criterion can be regarded as a generalization of the Landweber exact functor theorem, and we use it to give a proof of the original theorem.

2000 Mathematics Subject Classification 55N22 (primary), 14A20 (secondary).


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.