Torus actions, fixed-point formulas, elliptic genera and positive curvature

DOI10.1007/s11464-016-0583-2zbMath1352.57036arXiv1605.05531OpenAlexW2963059589MaRDI QIDQ335542

Anand Dessai

Publication date: 2 November 2016

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05531

zbMATH Keywords

torus actionrigidityelliptic genusfixed point formulavanishingequivariant index

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Index theory and related fixed-point theorems on manifolds (58J20) Group actions and symmetry properties (58D19) Elliptic genera (58J26) Equivariant (K)-theory (19L47) Positive curvature complex manifolds (32Q10)

Related Items

Torus actions, fixed-point formulas, elliptic genera and positive curvature

Cites Work

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• Torus actions, fixed-point formulas, elliptic genera and positive curvature
• Positive curvature and the elliptic genus
• Elliptic genera, involutions, and homogeneous spin manifolds
• Obstructions to positive curvature and symmetry
• The moment map and equivariant cohomology
• Transformation groups
• Manifolds with positive curvature
• Curvature, diameter and Betti numbers
• Elliptic curves and modular forms in algebraic topology. Proceedings of a conference held at the Institute for Advanced Study, Princeton, NJ, Sept. 15-17, 1986
• \(\text{Spin}^c\)-structures and \(S^1\)-actions
• Involutions and characteristic numbers
• Rigidity theorems for \(Spin^\mathbb{C}\)-manifolds
• \(S^ 1\)-actions and elliptic genera
• Torus actions on manifolds of positive sectional curvature.
• On modular invariance and rigidity theorems
• A conjecture concerning positive Ricci curvature and the Witten genus
• On the Hopf conjecture with symmetry
• Topological properties of positively curved manifolds with symmetry
• Complete intersections with \(S^{1}\)-action
• Vector fields and characteristic numbers
• Clifford modules
• Maps of odd period
• The index of elliptic operators. I
• The index of elliptic operators. II
• The index of elliptic operators. III
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• A residue formula for holomorphic vector-fields
• Equivariant K-theory
• Bordism of \(G\)-manifolds and integrality theorems
• Equivariant \(K\)-theory and completion
• The spectrum of an equivariant cohomology ring. I. II
• Lifting group actions in fibre bundles
• Quelques propriétés globales des variétés différentiables
• What is ... Equivariant Cohomology?
• Seminar on Transformation Groups. (AM-46)
• On the Cobordism Ring Ω ∗ and a Complex Analogue, Part I
• Nonnegatively and Positively curved manifolds
• On the Rigidity Theorems of Witten
• Transformation Groups on Cohomology Projective Spaces
• Characteristic Classes. (AM-76)
• FORMAL GROUPS AND THE ATIYAH-HIRZEBRUCH FORMULA
• OBSTRUCTIONS TO THE EXISTENCE OFS¹-ACTIONS. BORDISM OF RAMIFIED COVERINGS
• On rigid Hirzebruch genera
• Poincare Duality and Cobordism
• Riemann-Roch theorems for differentiable manifolds
• On manifolds with involution
• Applications of the Holomorphic Lefschetz Formula
• Smooth 𝑆¹ actions on homotopy complex projective spaces and related topics
• Espaces fibrés en sphères et carrés de Steenrod
• Vector fields and Ricci curvature
• On the signature of an involution