Nonsmoothable actions of \(\mathbb{Z}_2\times\mathbb{Z}_2\) on spin four-manifolds

DOI10.1016/j.topol.2021.107868zbMath1495.57021OpenAlexW3208622099MaRDI QIDQ2072120

Yuya Kato

Publication date: 26 January 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107868

zbMATH Keywords

Seiberg-Witten theorytransformation groupsmooth structure\(4\)-dimensional topology

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) General topology of 4-manifolds (57K40)

Cites Work

• Unnamed Item
• Cyclic group actions on contractible 4-manifolds
• \(\text{Pin}^-(2)\)-monopole equations and intersection forms with local coefficients of four-manifolds
• Nonsmoothable group actions on spin 4-manifolds
• \(\mathrm{Pin}^{-}(2)\)-monopole invariants
• Seiberg-Witten theory and \(\mathbb{Z}/2^p\) actions on spin 4-manifolds
• Exotic group actions in dimension four and Seiberg-Witten theory
• Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants
• A remark on a fixed point of finite group action on \(S^ 4\)
• The index of elliptic operators. II
• A survey of group actions on 4-manifolds
• Smoothability of $\mathbb {Z}\times \mathbb {Z}$-actions on 4-manifolds
• On the signatures of even 4-manifolds
• Monopole equation and the \(\frac{11}{8}\)-conjecture

This page was built for publication: Nonsmoothable actions of \(\mathbb{Z}_2\times\mathbb{Z}_2\) on spin four-manifolds