3 problems

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The conjecture that the constructed complex is an Eilenberg–Mac Lane space for the braid group
Assume that $Q$ is a graph with no multiple edges. Let $\operatorname{Br}_Q$ be the braid group associated with $Q$ , generated by elements $g_i$ indexed by the vertices of $Q$ , wit…
Conjectureopenbraid-groups coxeter-groups eilenberg-mac-lane-spacesarXiv posted 2 days ago
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Steenrod-operation polynomiality conjecture for $H^{\star}(K_{r\sigma+s})$
Steenrod-operation polynomiality conjecture. $H^{\star}(K_{r\sigma+s})$ is a polynomial algebra on certain classes
Conjectureopeneilenberg-mac-lane-spaces equivariant-cohomology steenrod-operationsarXiv posted 2 days ago
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Polynomial-generator conjecture for the cohomology of $K_{1+k(\sigma-1)}$
Polynomial-generator conjecture. $H^{\star}(K_{1+k(\sigma-1)})$ is a polynomial algebra on $k+1$ generators with $k$ relations; the square of each of the first $k$ generators is a…
Conjectureopeneilenberg-mac-lane-spaces equivariant-cohomology stable-homotopy-theoryarXiv posted 2 days ago

The conjecture that the constructed complex is an Eilenberg–Mac Lane space for the braid group