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arxiv: 1301.1076 · v1 · pith:CT6UEB67new · submitted 2013-01-06 · 🧮 math.GT

The F2 Cohomology of Sol³-Manifolds

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keywords mathbbborsuk-ulamclosedcohomologycomputedetermineindicesmanifold
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We compute the rings $H^*(N;\mathbb{F}_2)$ for $N$ a closed $\mathbb{S}ol^3$-manifold and then determine the Borsuk-Ulam indices $BU(N,\phi)$ with $\phi\not=0$ in $H^1(N;\mathbb{F}_2)$.

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