Toward a fundamental groupoid for the stable homotopy category

Details Toward a fundamental groupoid for the stable homotopy category Toward a fundamental groupoid for the stable homotopy category

2005-08-31

arxiv.org/abs/math/0509001v2

Geom. Topol. Monogr. 10 (2007) 293-317

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 18 April 2007

Scientific paper

10.2140/gtm.2007.10.293

This very speculative sketch suggests that a theory of fundamental groupoids for tensor triangulated categories could be used to describe the ring of integers as the singular fiber in a family of ring-spectra parametrized by a structure space for the stable homotopy category, and that Bousfield localization might be part of a theory of `nearby' cycles for stacks or orbifolds.

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