Complex-oriented cohomology theory
id:
complex-oriented-cohomology-theory-198-7727114
title:
Complex-oriented cohomology theory
text:
In algebraic topology, a complex-orientable cohomology theory is a multiplicative cohomology theory E such that the restriction map E 2 → E 2 is surjective. An element of E 2 that restricts to the canonical generator of the reduced theory E ~ 2 is called a complex orientation. The notion is central to Quillen's work relating cohomology to formal group laws. If E is an even-graded theory meaning π 3 E = π 5 E = ⋯ , then E is complex-orientable. This follows from the Atiyah–Hirzebruch spectral seq
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Complex-oriented_cohomology_theory
date created:
date modified:
2017-08-11T19:00:47Z
main entity:
{"identifier":"Q16950707","url":"https://www.wikidata.org/entity/Q16950707"}
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fields total:
13
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13