Circle actions and \(\mathbb{Z}/k\)-manifolds.

DOI10.1016/S1631-073X(03)00279-6zbMath1038.58028arXivmath/0306102OpenAlexW2095655139MaRDI QIDQ1408229

Weiping Zhang

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306102

zbMATH Keywords

circle action\(\mathbb{Z}/k\)-manifoldmod k index

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Characteristic classes and numbers in differential topology (57R20) Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27)

Related Items (1)

Rigidity and vanishing theorems on ℤ/𝕜 Spin^{𝕔} manifolds

Cites Work

• \({\mathbb{Z}}/k\)-manifolds and families of Dirac operators
• A mod \(k\) index theorem
• Complex immersions and Quillen metrics
• Quantization formula for symplectic manifolds with boundary
• Real embeddings and eta invariants
• Rigidity and vanishing theorems in \(K\)-theory
• Spectral asymmetry and Riemannian Geometry. I
• Real embeddings and the Atiyah-Patodi-Singer index theorem for Dirac operators
• Unnamed Item

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