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arXiv · 2211.05589

Correspondences and stable homotopy theory

Grigory Garkusha
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Abstract

A general method of producing correspondences and spectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra $SH$ is recovered from modules over a commutative symmetric ring spectrum defined in terms of framed correspondences over an algebraically closed field. Another application recovers stable motivic homotopy theory $SH(k)$ from spectral modules over associated spectral categories.

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Grigory Garkusha. 2022-11-10. Correspondences and stable homotopy theory. https://doi.org/10.1112/tlm3.12056

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