On the Chern character in higher twisted \(K\)-theory and spherical T-duality
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Publication:2035918
DOI10.1007/s00220-021-04096-wzbMath1476.19006arXiv2007.02507OpenAlexW3163515370MaRDI QIDQ2035918
Hemanth Saratchandran, Lachlan E. MacDonald, Varghese Mathai
Publication date: 2 July 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.02507
String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Fredholm structures on infinite-dimensional manifolds (58B15) Topological (K)-theory (55N15) Riemann-Roch theorems, Chern characters (19L10) Twisted (K)-theory; differential (K)-theory (19L50)
Cites Work
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- A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras
- The \(D\)-topology for diffeological spaces
- Analytic torsion for twisted de Rham complexes
- De Rham cohomology of diffeological spaces and foliations
- On a spectral sequence for twisted cohomologies
- K-theory for certain C*-algebras
- The order of the differentials in the Atiyah-Hirzebruch spectral sequence
- Chern character in twisted \(K\)-theory: Equivariant and holomorphic cases
- D-branes, \(T\)-duality, and index theory
- D-branes and \(K\)-theory
- \(K\)-theory and Ramond-Ramond charge
- \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology
- Spherical T-duality and the spherical Fourier-Mukai transform
- Categories and cohomology theories
- Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
- The Euler class as a cohomology generator
- \(T\)-duality: topology change from \(H\)-flux
- The holonomy groupoids of singularly foliated bundles
- Simplicial cochain algebras for diffeological spaces
- Twisted iterated algebraic \(K\)-theory and topological T-duality for sphere bundles
- Spherical T-duality
- Spherical T-duality. II: An infinity of spherical T-duals for non-principal \(\mathrm{SU}(2)\)-bundles
- A non-commutative model for higher twistedK-theory
- Topology and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>H</mml:mi></mml:math>-Flux of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mm
- Loop groups and twisted K -theory I
- Crossed Products of Continuous-Trace C ∗ -Algebras by Smooth Actions
- Orbifolds as diffeologies
- Generalized complex geometry and T-duality
- Infinite loop maps in geometric topology
- ON THE TOPOLOGY OF T-DUALITY
- String Theory
- String Theory
- Rational homotopy theory and differential forms
- D-branes, \(B\)-fields and twisted \(K\)-theory