On family rigidity theorems. I

DOI10.1215/S0012-7094-00-10234-7zbMath0988.58010arXivmath/9910047MaRDI QIDQ1567172

Xiaonan Ma, Ke Feng Liu

Publication date: 16 September 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9910047

zbMATH Keywords

rigidityequivariant elliptic family operators

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Index theory and related fixed-point theorems on manifolds (58J20) Elliptic genera (58J26) Jacobi forms (11F50) Elliptic cohomology (55N34) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Relations with algebraic geometry and topology (11F23)

Related Items (13)

Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem ⋮ Comparison of two equivariant \(\eta\)-forms ⋮ Modular invariance and anomaly cancellation formulas in odd dimension ⋮ Equivariant eta forms and equivariant differential \(K\)-theory ⋮ Functoriality of equivariant eta forms ⋮ Modular invariance and anomaly cancellation formulas in odd dimension. II ⋮ Analytic index for a family of Dirac–Ramond operators ⋮ Witten genus and elliptic genera for proper actions ⋮ Rigidity and vanishing theorems on ℤ/𝕜 Spin^{𝕔} manifolds ⋮ String^{𝑐} structures and modular invariants ⋮ Bouquets revisited and equivariant elliptic cohomology ⋮ The equivariant family index theorem in odd dimensions ⋮ The Noncommutative Infinitesimal Equivariant Index Formula

Cites Work

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• The index of elliptic operators. I
• The index of elliptic operators. II
• Equivariant K-theory
• The index of elliptic operators. IV, V
• On the heat equation and the index theorem
• On the Rigidity Theorems of Witten

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