Four-Manifolds which admit Z_p x Z_p actions

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dc.creatorMcCooey, Michael P.
dc.date2000-02-22
dc.date2000-05-30
dc.date.accessioned2026-07-07T08:20:18Z
dc.date.available2026-07-07T08:20:18Z
dc.descriptionWe show that the simply-connected four-manifolds which admit locally linear, homologically trivial actions by rank two finite abelian groups are homeomorphic to connected sums of CP^2, -CP^2, and S^2 x S^2 (with one exception: pseudofree Z_3 x Z_3 actions on the Chern manifold), and also establish an equivariant decompostion theorem. This generalizes results from a 1970 paper by Orlik and Raymond, and complements more recent work of Fintushel, Yoshida, and Huck on S^1 actions. In each case, the simply-connected four-manifolds which support such actions are essentially the same.
dc.description11 pages, LaTeX, 1 figure. This is a minor revision to make the paper more self-contained
dc.identifierhttps://arxiv.org/abs/math/0002187
dc.identifierhttp://arxiv.org/abs/math/0002187
dc.identifierForum Mathematicum 14 (4) 2002 pp. 495--507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135036
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57S17, 57S25
dc.titleFour-Manifolds which admit Z_p x Z_p actions
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