Toward a fundamental groupoid for the stable homotopy category
Algebraic Topology
2009-03-27 v2 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0509001,
title = {Toward a fundamental groupoid for the stable homotopy category},
author = {Jack Morava},
journal= {arXiv preprint arXiv:math/0509001},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 18 April 2007