Bordism of Semifree Circle Actions on Spin Manifolds

DOI10.2307/2000655zbMath0622.57024OpenAlexW4233751512MaRDI QIDQ3759564

Lucília D. Borsari

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000655

zbMATH Keywords

bordism groups of semifree circle group actions on spin manifoldsequivariant bordism theory

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Characteristic classes and numbers in differential topology (57R20) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Equivariant cobordism (57R85)

Related Items (8)

Positive scalar curvature on manifolds with fibered singularities ⋮ S1-Equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera ⋮ Equivariant spin bordism in low dimensions ⋮ Circle actions and scalar curvature ⋮ Elliptic genera and quantum field theory ⋮ Applications of the Ochanine genus ⋮ A lift of the Seiberg–Witten equations to Kaluza–Klein five-manifolds ⋮ Bordism of spin 4-manifolds with local action of tori

Cites Work

• Unnamed Item
• Unnamed Item
• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• Differentiable periodic maps. 2nd ed
• Circle actions on spin manifolds and characteristic numbers
• Semi-free circle actions on \(\text{Spin}^c\)-manifolds
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• On the Index of a Fibered Manifold
• Characteristic Classes. (AM-76)
• Free Actions and Complex Cobordism
• Torsion in 𝑆𝑈-bordism
• On Tangent Bundles of Fibre Spaces and Quotient Spaces

This page was built for publication: Bordism of Semifree Circle Actions on Spin Manifolds