Concerning the construction of linear representations of surface-mapping class groups on the homology of configuration spaces of points, twisted by linear representations of the integer Heisenberg group (“Heisenberg homology”):
Christian Blanchet, Martin Palmer, Awais Shaukat: Action of subgroups of the mapping class group on Heisenberg homologies, Contemporary Mathematics 813, AMS (2025) [arXiv:2306.08614, doi:10.1090/conm/813]
Christian Blanchet, Martin Palmer, Awais Shaukat, Heisenberg homology on surface configurations [arXiv:2109.00515]
Awais Shaukat, Christian Blanchet, Weakly framed surface configurations, Heisenberg homology and Mapping Class Group action, Archiv der Mathematik 120 (2023) 99–109 [arXiv:2206.11475, doi:10.1007/s00013-022-01793-3]
Christian Blanchet: Heisenberg homology of ribbon graphs, in: Essays in Geometry, IRMA Lectures in Math. and Theor. Physics 34, EMS (2023) [arXiv:2401.04477, doi:10.4171/irma/34/10]
and relation to abelian Chern-Simons theory:
Review:
Last revised on April 27, 2025 at 13:03:33. See the history of this page for a list of all contributions to it.