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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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  • Topological symmetric and braid homologies math.AT · 2026-05-21 · unverdicted · none · ref 8

    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.