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<titleInfo><title>An easier way to compute 2-cocycles coming from a reduction for semidirect products</title></titleInfo>


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  <namePart type="given">Viacheslav</namePart>
  <namePart type="family">Goncharov</namePart>
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<abstract lang="eng">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.</abstract>

<originInfo><publisher>Elsevier</publisher><dateIssued encoding="w3cdtf">2026</dateIssued>
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<relatedItem type="host"><titleInfo><title>Journal of Geometry and Physics</title></titleInfo>
  <identifier type="issn">0393-0440</identifier>
  <identifier type="eIssn">1879-1662</identifier>
  <identifier type="arXiv">2509.16169</identifier><identifier type="doi">10.1016/j.geomphys.2026.105878</identifier>
<part><detail type="volume"><number>227</number></detail>
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<apa>Goncharov, V. (2026). An easier way to compute 2-cocycles coming from a reduction for semidirect products. &lt;i&gt;Journal of Geometry and Physics&lt;/i&gt;. Elsevier. &lt;a href=&quot;https://doi.org/10.1016/j.geomphys.2026.105878&quot;&gt;https://doi.org/10.1016/j.geomphys.2026.105878&lt;/a&gt;</apa>
<short>V. Goncharov, Journal of Geometry and Physics 227 (2026).</short>
<ieee>V. Goncharov, “An easier way to compute 2-cocycles coming from a reduction for semidirect products,” &lt;i&gt;Journal of Geometry and Physics&lt;/i&gt;, vol. 227. Elsevier, 2026.</ieee>
<chicago>Goncharov, Viacheslav. “An Easier Way to Compute 2-Cocycles Coming from a Reduction for Semidirect Products.” &lt;i&gt;Journal of Geometry and Physics&lt;/i&gt;. Elsevier, 2026. &lt;a href=&quot;https://doi.org/10.1016/j.geomphys.2026.105878&quot;&gt;https://doi.org/10.1016/j.geomphys.2026.105878&lt;/a&gt;.</chicago>
<mla>Goncharov, Viacheslav. “An Easier Way to Compute 2-Cocycles Coming from a Reduction for Semidirect Products.” &lt;i&gt;Journal of Geometry and Physics&lt;/i&gt;, vol. 227, 105878, Elsevier, 2026, doi:&lt;a href=&quot;https://doi.org/10.1016/j.geomphys.2026.105878&quot;&gt;10.1016/j.geomphys.2026.105878&lt;/a&gt;.</mla>
<ama>Goncharov V. An easier way to compute 2-cocycles coming from a reduction for semidirect products. &lt;i&gt;Journal of Geometry and Physics&lt;/i&gt;. 2026;227. doi:&lt;a href=&quot;https://doi.org/10.1016/j.geomphys.2026.105878&quot;&gt;10.1016/j.geomphys.2026.105878&lt;/a&gt;</ama>
<ista>Goncharov V. 2026. An easier way to compute 2-cocycles coming from a reduction for semidirect products. Journal of Geometry and Physics. 227, 105878.</ista>
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