An easier way to compute 2-cocycles coming from a reduction for semidirect products
Goncharov V. 2026. An easier way to compute 2-cocycles coming from a reduction for semidirect products. Journal of Geometry and Physics. 227, 105878.
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Abstract
For Hamiltonian actions of semidirect products G = FxH, we study 2-cocycles arising from residual Hamiltonian actions of F on Hamiltonian reductions for H. The motivation comes from the study of Teichmüller spaces for surfaces with boundary, which carry Hamiltonian actions of the Virasoro algebra. In this paper, we give a general setup for the problem, and we suggest an easier way to obtain the Gelfand-Fuchs 2-cocycles for Hamiltonian actions on Teichmüller spaces.
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Date Published
2026-05-21
Journal Title
Journal of Geometry and Physics
Publisher
Elsevier
Volume
227
Article Number
105878
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eISSN
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Cite this
Goncharov V. An easier way to compute 2-cocycles coming from a reduction for semidirect products. Journal of Geometry and Physics. 2026;227. doi:10.1016/j.geomphys.2026.105878
Goncharov, V. (2026). An easier way to compute 2-cocycles coming from a reduction for semidirect products. Journal of Geometry and Physics. Elsevier. https://doi.org/10.1016/j.geomphys.2026.105878
Goncharov, Viacheslav. “An Easier Way to Compute 2-Cocycles Coming from a Reduction for Semidirect Products.” Journal of Geometry and Physics. Elsevier, 2026. https://doi.org/10.1016/j.geomphys.2026.105878.
V. Goncharov, “An easier way to compute 2-cocycles coming from a reduction for semidirect products,” Journal of Geometry and Physics, vol. 227. Elsevier, 2026.
Goncharov V. 2026. An easier way to compute 2-cocycles coming from a reduction for semidirect products. Journal of Geometry and Physics. 227, 105878.
Goncharov, Viacheslav. “An Easier Way to Compute 2-Cocycles Coming from a Reduction for Semidirect Products.” Journal of Geometry and Physics, vol. 227, 105878, Elsevier, 2026, doi:10.1016/j.geomphys.2026.105878.
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