Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles
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Publication:1759383
DOI10.1016/j.aim.2012.08.016zbMath1258.53023arXiv1109.0480OpenAlexW2963234903MaRDI QIDQ1759383
Publication date: 20 November 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.0480
holonomyloop spacegerbesdiffeological spacesorientability of loop spacestransgressioncomplex spin structure
Loop spaces (55P35) Spin and Spin({}^c) geometry (53C27) Differential geometric aspects of gerbes and differential characters (53C08)
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Cites Work
- Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection.
- Four equivalent versions of nonabelian gerbes
- Lifting problems and transgression for non-abelian gerbes
- Orbifolds as stacks?
- Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
- The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
- Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
- Higher-degree analogs of the determinant line bundle
- Transgression of the index gerbe
- A LOOP SPACE FORMULATION FOR GEOMETRIC LIFTING PROBLEMS
- Convenient categories of smooth spaces
- CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES
- Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps
- Bundle Gerbes
- Loop spaces, characteristic classes and geometric quantization
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