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PreprintarXiv licencearXiv

Fixed points via tilting

Abstract

In this article we initiate the study of perfect commutative 𝔽p-algebras in the non-connective setting. As an application we show that given a finite Cp-space X the 𝔽p-cochains on XCp can be recovered as a base-change of the tilt of the Tate construction on cochains on Xe.

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BibTeX
@misc{burklund2026fixed,
  title = {{Fixed points via tilting}},
  author = {Robert Burklund and Vignesh Subramanian},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01985},
  eprint = {2611.01985},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01985},
}
RIS
TY  - UNPB
TI  - Fixed points via tilting
AU  - Robert Burklund
AU  - Vignesh Subramanian
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01985
UR  - https://arxiv.org/abs/2611.01985
AB  - In this article we initiate the study of perfect commutative 𝔽_p-algebras in the non-connective setting. As an application we show that given a finite C_p-space X the 𝔽_p-cochains on X^C_p can be recovered as a base-change of the tilt of the Tate construction on cochains on X^e.
ER  -