A variant of K-theory and topological T-duality for Real circle bundles

Abstract

For a space with involutive action, there is a variant of K-theory. Motivated by T-duality in type II orbifold string theory, we establish that a twisted version of the variant enjoys a topological T-duality for Real circle bundles, i.e. circle bundles with real structure.

49 pages, LaTeX 2e

References in corpus (5)

• On the Topology and Flux of T-Dual Manifolds
• T-duality For Orientifolds and Twisted KR-theory
• Topology and Flux of T-Dual Manifolds with Circle Actions
• The Künneth Theorem in equivariant K-theory for actions of a cyclic group of order 2
• K-theoretic matching of brane charges in S- and U-duality

Cited by in corpus (10)

• Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case
• The FKMM-invariant in low dimension
• Good Wannier bases in Hilbert modules associated to topological insulators
• Crystallographic T-duality
• The Geometry of (non-Abelian) Landau levels
• Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices
• 'Real' gerbes and Dirac cones of topological insulators
• The cohomology invariant for class DIII topological insulators
• Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case
• A new light on the FKMM invariant and its consequences