| | |
| | |
Stat |
Members: 3645 Articles: 2'503'724 Articles rated: 2609
23 April 2024 |
|
| | | |
|
Article overview
| |
|
Recognizing nullhomotopic maps into the classifying space of a Kac-Moody group | John D. Foley
; | Date: |
23 Feb 2015 | Abstract: | This paper extends certain characterizations of nullhomotopic maps between
p-compact groups to maps with target the p-completed classifying space of a
connected Kac-Moody group and source the classifying space of either a
p-compact group or a connected Kac-Moody group. A well known inductive
principle for p-compact groups is applied to obtain general, mapping space
level results. An arithmetic fiber square computation shows that a null map
from the classifying space of a connected compact Lie group to the classifying
space of a connected topological Kac-Moody group can be detected by restricting
to the maximal torus. Null maps between the classifying spaces of connected
topological Kac-Moody groups cannot, in general, be detected by restricting to
the maximal torus due to the nonvanishing of an explicit abelian group of
obstructions described here. Nevertheless, partial results are obtained via the
application of algebraic discrete Morse theory to higher derived limit
calculations which show that such detection is possible in many cases of
interest. | Source: | arXiv, 1502.6520 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |