Smooth classification of locally standard \(T^k\)-manifolds

zbMath1498.57031arXiv2011.10460MaRDI QIDQ2159502

Michael Wiemeler

Publication date: 1 August 2022

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10460

zbMATH Keywords

classificationequivariant diffeomorphismlocally standard torus manifolds

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Differentiable mappings in differential topology (57R35) Toric topology (57S12)

Cites Work

• Unnamed Item
• Convex polytopes, Coxeter orbifolds and torus actions
• Actions of tori on orbifolds
• Smooth functions invariant under the action of a compact Lie group
• Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds
• When are two Coxeter orbifolds diffeomorphic?
• Moduli spaces of invariant metrics of positive scalar curvature on quasitoric manifolds
• Torus manifolds and non-negative curvature

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