A Variant of K-Theory and Topological T-Duality for Real Circle Bundles

2013/10/31 by Kiyonori Gomi · 14 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Connection (principal bundle) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Orbifold #Space (punctuation) #String (physics) #Topological space #Topology (electrical circuits) #Type (biology) #Unit circle #math.AT #math.KT

paper · pdf · doi:10.1007/s00220-014-2153-3

published in Communications in Mathematical Physics 334(2), 923-975 (Springer Science+Business Media) · 49 pages, LaTeX 2e

arxiv created 2013/10/31 · openalex publication_date 2014/08/22 · arxiv updated 2015/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Continuous-trace algebras from the bundle theoretic point of view
• Théorie de Hodge : III
• T-Duality: Topology Change from H-Flux
• ON THE TOPOLOGY OF T-DUALITY

Cited by

• Differential geometric invariants for time-reversal symmetric Bloch-bundles: The “Real” case