Obstructions to smooth group actions on 4-manifolds from families Seiberg-Witten theory

DOI10.1016/j.aim.2019.106730zbMath1428.57014arXiv1805.07860OpenAlexW2804745777WikidataQ127465343 ScholiaQ127465343MaRDI QIDQ2324566

David Baraglia

Publication date: 11 September 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07860

zbMATH Keywords

monodromyStiefel-Whitney class\(\mathrm{Spin}^c\)-structurefamilies Seiberg-Witten theoryfamily of 4-manifolds

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Group actions on manifolds and cell complexes in low dimensions (57M60) Extension and compression of mappings in algebraic topology (55S36)

Related Items (8)

Symplectic mapping class groups of K3 surfaces and Seiberg-Witten invariants ⋮ Constraints on families of smooth 4-manifolds from Bauer-Furuta invariants ⋮ Non-trivial smooth families of \(K3\) surfaces ⋮ Symplectic mapping class groups of blowups of tori ⋮ Equivariant Seiberg-Witten-Floer cohomology ⋮ A gluing formula for families Seiberg-Witten invariants ⋮ Characteristic classes via 4-dimensional gauge theory ⋮ Rigidity of the mod 2 families Seiberg–Witten invariants and topology of families of spin 4-manifolds

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