Correspondences and stable homotopy theory

IF 1.1 Q1 MATHEMATICS Transactions of the London Mathematical Society Pub Date : 2023-09-28 DOI:10.1112/tlm3.12056
Grigory Garkusha
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引用次数: 0

Abstract

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 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 from spectral modules over associated spectral categories.
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对应与稳定同伦理论
摘要给出了对称环对象在一般范畴中产生对应和谱范畴的一般方法。作为一种应用,从代数闭域上用框架对应定义的交换对称环谱上的模中恢复了谱的稳定同伦理论。另一种应用是从相关谱范畴上的谱模中恢复稳定的动力同伦理论。
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
8
审稿时长
41 weeks
期刊最新文献
Scalar‐valued depth two Eichler–Shimura integrals of cusp forms Correspondences and stable homotopy theory Interval groups related to finite Coxeter groups Part II The set of mildly regular boundary points has full caloric measure Issue Information
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