Journal article
The Lubin–Tate theory of configuration spaces: I
- Abstract:
- We construct a spectral sequence converging to the Lubin–Tate theory, that is, Morava E-theory, of unordered configuration spaces and identify its E2-page as the homology of a Chevalley–Eilenberg-like complex for Hecke Lie algebras. Based on this, we compute the E-theory of the weight p summands of iterated loop spaces of spheres (parametrising the weight p operations on 𝔼n-algebras), as well as the E-theory of the configuration spaces of p points on a punctured surface. We read off the corresponding Morava K-theory groups, which appear in a conjecture by Ravenel. Finally, we compute the 𝔽p-homology of the space of unordered configurations of p particles on a punctured surface.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 939.2KB, Terms of use)
-
- Publisher copy:
- 10.1112/topo.70000
Authors
- Publisher:
- Wiley
- Journal:
- Journal of Topology More from this journal
- Volume:
- 17
- Issue:
- 4
- Article number:
- e70000
- Publication date:
- 2024-10-20
- Acceptance date:
- 2024-08-31
- DOI:
- EISSN:
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1753-8424
- ISSN:
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1753-8416
- Language:
-
English
- Pubs id:
-
1049100
- Local pid:
-
pubs:1049100
- Deposit date:
-
2024-09-03
Terms of use
- Copyright holder:
- Brantner et al.
- Copyright date:
- 2024
- Rights statement:
- © 2024 The Author(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Wiley at https://dx.doi.org/10.1112/topo.70000
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