Equivariant twisted real \(K\)-theory of compact Lie groups

DOI10.1016/j.geomphys.2017.11.013zbMath1415.19001arXiv1503.00957OpenAlexW2765203175WikidataQ115352934 ScholiaQ115352934MaRDI QIDQ1742289

Chi-Kwong Fok

Publication date: 11 April 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00957

zbMATH Keywords

real \(K\)-theoryVerlinde algebracompact Lie groups\(K R\)-theoryreal \(\mathrm{Spin}^c\) structure

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (1)

Twisted loop transgression and higher Jandl gerbes over finite groupoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Twisted equivariant matter
• T-duality for orientifolds and twisted KR-theory
• Loop groups and twisted \(K\)-theory. III
• Fusion rules and modular transformations in 2D conformal field theory
• On the equivalence of geometric and analytic \(K\)-homology
• Equivariant sheaf cohomology
• Principal bundles and the Dixmier Douady class
• Lie group valued moment maps
• Conformal blocks and generalized theta functions
• Moment maps and Riemannian symmetric pairs
• Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
• On the quantization of conjugacy classes
• Fusion rings of loop group representations
• On groupoids with involutions and their cohomology
• The real \(K\)-theory of compact Lie groups
• Equivariant K-theory
• Classifying spaces and spectral sequences
• Graded Brauer groups and K-theory with local coefficients
• Equivariant \(K\)-theory and completion
• Sur quelques points d'algèbre homologique
• Loop groups and twisted K -theory I
• Orientifold Precis
• Bundle Gerbes: Stable Isomorphism and Local Theory
• Thom isomorphism and push-forward map in twisted K-theory
• Twisted $K$-theory and Poincaré duality
• TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:K-HOMOLOGY
• Twisted K-Homology and Group-Valued Moment Maps
• Loop groups and twisted $K$-theory II
• Lectures on group-valued moment maps and Verlinde formulas
• Bundle Gerbes
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• K-THEORY AND REALITY
• THE REAL K-THEORY OF LIE GROUPS AND HOMOGENEOUS SPACES

This page was built for publication: Equivariant twisted real \(K\)-theory of compact Lie groups