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https://hdl.handle.net/2440/139031
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DC Field | Value | Language |
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dc.contributor.author | Baraglia, D. | - |
dc.contributor.author | Konno, H. | - |
dc.date.issued | 2023 | - |
dc.identifier.citation | Proceedings of the American Mathematical Society, 2023; 151(9):4079-4087 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.issn | 1088-6826 | - |
dc.identifier.uri | https://hdl.handle.net/2440/139031 | - |
dc.description.abstract | We will show the following three theorems on the diffeomorphism and homeomorphism groups of a K3 surface. The first theorem is that the natural map π₀ (Diff(K3)) → Aut(H²(K3;Z)) has a section over its image. The second is that there exists a subgroup G of π₀ (Diff(K3)) of order two over which there is no splitting of the map (Diff(K3) → π₀ (Diff(K3)), but there is a splitting of Homeo(K3) → π₀(Homeo(K3)) over the image of G in π₀(Homeo(K3)), which is non-trivial. The third is that the map π₁(Diff(K3)) → π₁(Homeo(K3)) is not surjective. Our proof of these results is based on Seiberg-Witten theory and the global Torelli theorem for K3 surfaces. | - |
dc.description.statementofresponsibility | David Baraglia and Hokuto Konno | - |
dc.language.iso | en | - |
dc.publisher | American Mathematical Society | - |
dc.rights | © 2023 American Mathematical Society | - |
dc.source.uri | http://dx.doi.org/10.1090/proc/15544 | - |
dc.title | A note on the Nielsen realization problem for K3 surfaces | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1090/proc/15544 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP170101054 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Baraglia, D. [0000-0002-8450-1165] | - |
Appears in Collections: | Mathematical Sciences publications |
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