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The cohomology of Torelli groups is algebraic

math.AT · 2019-08-13 · accept · novelty 7.0

For 2n ≥ 6 and g ≥ 2, the rational cohomology of the Torelli group of W_g = #^g S^n × S^n is an algebraic representation of Sp_{2g} or O_{g,g}, and its classifying space is nilpotent.

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  • The cohomology of Torelli groups is algebraic math.AT · 2019-08-13 · accept · none · ref 1

    For 2n ≥ 6 and g ≥ 2, the rational cohomology of the Torelli group of W_g = #^g S^n × S^n is an algebraic representation of Sp_{2g} or O_{g,g}, and its classifying space is nilpotent.