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Dotto, Emanuele, Moi, Kristian, Patchkoria, Irakli, Reeh, Sune Precht , TITLE = · 2021 · DOI 10.4171/jems/1007

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Equivariant twisted $R$-algebras via Thom spectra

math.AT · 2026-07-02 · unverdicted · novelty 6.0

Twisted R-algebra structures on quotients of real ring spectra are built via Thom spectra, enabling real THH computations including for KR/2.

Topological symmetric and braid homologies

math.AT · 2026-05-21 · unverdicted · novelty 6.0

Topological symmetric homology equals the free E∞-algebra on an E1-algebra; topological braid homology equals the free E2-algebra on an E1-algebra, via identification of the E2-monoidal envelope with the braided crossed simplicial group.

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  • Equivariant twisted $R$-algebras via Thom spectra math.AT · 2026-07-02 · unverdicted · none · ref 40

    Twisted R-algebra structures on quotients of real ring spectra are built via Thom spectra, enabling real THH computations including for KR/2.

  • Topological symmetric and braid homologies math.AT · 2026-05-21 · unverdicted · none · ref 17

    Topological symmetric homology equals the free E∞-algebra on an E1-algebra; topological braid homology equals the free E2-algebra on an E1-algebra, via identification of the E2-monoidal envelope with the braided crossed simplicial group.