Homotopy complex projective spaces with \(Pin\)(2)-action

DOI10.1016/S0166-8641(01)00192-4zbMath0998.57048arXivmath/0102061MaRDI QIDQ1612275

Anand Dessai

Publication date: 22 August 2002

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

Full work available at URL: https://arxiv.org/abs/math/0102061

zbMATH Keywords

fixed pointDirac operatorsrigidityequivariant index theorytransformation groupsPontryagin classJacobi functions

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Characteristic classes and numbers in differential topology (57R20) Equivariant (K)-theory (19L47) Obstructions to group actions ((K)-theoretic aspects) (19J35)

Related Items (3)

Complete intersections with \(S^{1}\)-action ⋮ On a generalized Petrie's conjecture via index theorems ⋮ On a symplectic generalization of Petrie’s conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The theory of Jacobi forms
• Smooth \(S^ 1\) actions on homotopy \({\mathbb{C}}P^ 4\)'s.
• On smooth semifree \(S^1\) actions on cohomology complex projective spaces
• \(\text{Spin}^c\)-structures and \(S^1\)-actions
• \(S^ 1\)-actions on cohomology complex projective spaces with three components of the fixed point sets
• Bordism-finiteness and semi-simple group actions
• Rigidity theorems for \(Spin^\mathbb{C}\)-manifolds
• Differentiable circle group actions on homotopy complex projective spaces
• On modular invariance and rigidity theorems
• \(\text{Spin}^c\)-manifolds with \(\text{Pin}(2)\)-action
• The index of elliptic operators. II
• The index of elliptic operators. III
• On the Rigidity Theorems of Witten
• Smooth 𝑆¹ actions on homotopy complex projective spaces and related topics
• Torus actions on homotopy complex projective spaces
• Smooth \(S^1\)-manifold in the homotopy type of \(CP^3\)

This page was built for publication: Homotopy complex projective spaces with \(Pin\)(2)-action