Topological characterization of nonsingular real algebraic \(G\)-surfaces

DOI10.1016/0166-8641(94)90030-2zbMath0812.57025OpenAlexW2033930386MaRDI QIDQ1325815

Sung Sook Kim, Mikiya Masuda

Publication date: 16 May 1995

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

Full work available at URL: https://doi.org/10.1016/0166-8641(94)90030-2

zbMATH Keywords

equivariant diffeomorphismNash-Tognoli theorem\(G\)-cobordant to a non-singular algebraic variety\(G\)-cobordism theorem\(G\)-surfacesequivariantly diffeomorphic to a real algebraic \(G\)-variety

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Groups acting on specific manifolds (57S25) Topology of real algebraic varieties (14P25)

Related Items (2)

Algebraic realization problems for low dimensional \(G\) manifolds ⋮ Nonisomorphic Algebraic Models of a Smooth Manifold with Group Action

Cites Work

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• Algebraic realization of manifolds with group actions
• A \(\Pi_*\)-module structure for \(\Theta_*\) and applications to transformation groups
• Real algebraic manifolds
• Nonlinear analogs of linear group actions on spheres
• Approximation of smooth manifolds by real algebraic sets
• Unoriented bordism and actions of finite groups

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