Abstract
In this paper we construct a refinement of the transchromatic generalized character maps by taking into account the torus action on the inertia groupoid (also known as the Fix functor). The relationship between this construction and the geometry of p-divisible groups is made precise.
| Original language | English |
|---|---|
| Pages (from-to) | 29-61 |
| Number of pages | 33 |
| Journal | Journal of Homotopy and Related Structures |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2015 |
Bibliographical note
Publisher Copyright:© 2013, Tbilisi Centre for Mathematical Sciences.
Funding
Once again it is a pleasure to thank Charles Rezk for his assistance with this project. Rezk pointed out a version of the Twist(-) construction and suggested that it might be related to non-trivial extensions of p-divisible groups. I would like to thank Jacob Lurie for several illuminating discussions. I’d also like to thank Matt Ando, Mark Behrens, David Carchedi, David Gepner, Tyler Lawson, HaynesMiller, Chris Schommer-Pries, Olga Stroilova, and the referee for their time and helpful remarks. The author was partially supported by NSF grant DMS-0943787.
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | DMS-0943787 |
Keywords
- Generalized character theory
- HKR
- Morava (Formula presented.) -theory
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology