Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle
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Publication:962053
DOI10.1016/j.geomphys.2009.12.010zbMath1186.22024arXiv0802.3608OpenAlexW2963565412MaRDI QIDQ962053
Publication date: 1 April 2010
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.3608
Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Connections (general theory) (53C05)
Related Items (2)
Atiyah sequence and gauge transformations of a principal 2-bundle over a Lie groupoid ⋮ Mickelsson-Rajeev cocycle corresponding to dimension five
Cites Work
- Universal Schwinger cocycles of current algebras in \((D+1)\)-dimensions: Geometry and physics
- Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
- Determinants of Cauchy-Riemann operators on a Riemann surface
- Current algebra representation for the \(3+1\) dimensional Dirac-Yang-Mills theory
- Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
- Superconnection character forms and the Cayley transform
- On the Mickelsson-Faddeev extension and unitary representations
- Fermion current algebras and Schwinger terms in \((3+1)\)-dimensions
- Homotopy theory of infinite dimensional manifolds
- Loop spaces, characteristic classes and geometric quantization
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