Correspondences and stable homotopy theory

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.

the final accepted version

References in corpus (3)

• Modules over algebraic cobordism
• Two-complete stable motivic stems over finite fields
• Fibrant resolutions for motivic Thom spectra