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W1520893277 abstract "We investigate what kind of closed 3-manifolds can admit locally standard (Z2)3-actions. In particular, we will prove that for a closed connected 3-manifold M with H1(M;Z2)=0, M admits a locally standard (Z2)3-action if and only if M is a connected sum of 8 copies of a Z2-homology sphere N. So if such an M is irreducible, it must be homeomorphic to S3. Moreover, the argument can be extended to study orientable rational homology 3-spheres M with H1(M;Z2)≅Z2 which admits locally standard (Z2)3-actions." @default.
W1520893277 created "2016-06-24" @default.
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W1520893277 date "2013-03-01" @default.
W1520893277 modified "2023-09-29" @default.
W1520893277 title "On 3-manifolds with locally standard <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=double-struck>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>-actions" @default.
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W1520893277 doi "https://doi.org/10.1016/j.topol.2013.01.005" @default.
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