nLab Martin Palmer

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Selected writings

On the ordinary homology of configuration spaces of points in a surface as a group representation of the mapping class group:

• Martin Palmer, Configuration spaces and homological stability, Oxford University Research Archive (2012) [pdf, web, pdf]

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]

Review:

• Martin Palmer: Representations of the Torelli group via the Heisenberg group, talk at Workshop for Young Researchers in Mathematics – 10th ed. (2021) [pdf, pdf]

• Martin Palmer, Mapping class group representations via Heisenberg, Schrödinger and Stone-von Neumann, talk at CQTS (March 2022)

category: people