FINITE GROUP ACTIONS ON FOUR MANIFOLDS

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Basak_Kucuk_M_Sc__Thesis.pdf

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2022-7-21

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Küçük, Başak

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In the area of group actions on manifolds, we either fix a group G and ask the question whether G acts or not on some certain manifolds or we fix the manifold M and ask which groups can act on M in a certain way. In this thesis, we will focus on the latter; present some known and recent results about finite group actions on closed, connected, orientable four-manifolds. The group actions that are considered are topological and locally linear. We will give a detailed overview of the rank conditions of the groups G which act on both simply-connected and non-simply-connected four-manifolds by using Borel spectral sequences.

Subject Keywords

finite group actions, four-manifolds, Borel spectral sequences

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https://hdl.handle.net/11511/98199

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

B. Küçük, “FINITE GROUP ACTIONS ON FOUR MANIFOLDS,” M.S. - Master of Science, Middle East Technical University, 2022.