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4-manifolds with large symmetry groups - MaRDI portal

4-manifolds with large symmetry groups (Q1077020)

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scientific article; zbMATH DE number 3956013
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4-manifolds with large symmetry groups
scientific article; zbMATH DE number 3956013

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    4-manifolds with large symmetry groups (English)
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    1986
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    This paper provides a diffeomorphism classification of all closed oriented four dimensional manifolds which have an effective action of a compact (connected ?) non-abelian Lie group. In addition, the paper contains an equivariant classification of SU(2) and SO(3) actions on four dimensional manifolds. These are the crucial groups for the problem.
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    effective action of a compact non-abelian Lie group
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    SU(2)
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    actions
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    diffeomorphism classification
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    four dimensional manifolds
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    SO(3) actions
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