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arXiv:math/0509001 [math.AT]AbstractReferencesReviewsResources

Toward a fundamental groupoid for the stable homotopy category

Jack Morava

Published 2005-08-31, updated 2009-03-27Version 2

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.

Comments: This is the version published by Geometry & Topology Monographs on 18 April 2007
Journal: Geom. Topol. Monogr. 10 (2007) 293-317
Categories: math.AT, math.NT
Subjects: 11G99, 19F99, 57R99, 81T99
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