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Correspondences and stable homotopy theory
Transactions of the London Mathematical Society, Volume: 10, Issue: 1, Pages: 124 - 155
Swansea University Author:
Grigory Garkusha
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© 2023 The Authors. Transactions of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
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DOI (Published version): 10.1112/tlm3.12056
Abstract
A general method of producing correspondences andspectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra is recovered from modulesover a commutative symmetric ring spectrum defined interms of framed correspondences over a...
| Published in: | Transactions of the London Mathematical Society |
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| ISSN: | 2052-4986 2052-4986 |
| Published: |
Wiley
2023
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa64111 |
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| Abstract: |
A general method of producing correspondences andspectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra is recovered from modulesover a commutative symmetric ring spectrum defined interms of framed correspondences over an algebraically closed field. Another application recovers stable motivic homotopy theory () from spectral modules over associated spectral categories. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
EPSRC, EP/W012030/1 |
| Issue: |
1 |
| Start Page: |
124 |
| End Page: |
155 |