Even intersection form implies spin structure: Difference between revisions

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{{result related to intersection form}}
{{result related to intersection form}}
{{spinnability condition}}


==Statement==
==Statement==


A compact simply connected 4-dimensional oriented Riemannian manifold admits a [[spin structure]] if and only if its [[intersection form]] is [[even intersection form|even]].
A compact simply connected 4-dimensional oriented Riemannian manifold admits a [[spin structure]] if and only if its [[intersection form]] is [[even intersection form|even]].

Revision as of 10:36, 6 July 2007

Template:Result related to intersection form

Template:Spinnability condition

Statement

A compact simply connected 4-dimensional oriented Riemannian manifold admits a spin structure if and only if its intersection form is even.