An exposition of the calculation of the second rational cohomology group of the Torelli group using the Johnson homomorphism and two key prior results.
Kawazumi, On the stable cohomology algebra of extended mapping class groups for surfaces, in Groups of diffeomorphisms, 383–400, Adv
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Calculating the second rational cohomology group of the Torelli group
An exposition of the calculation of the second rational cohomology group of the Torelli group using the Johnson homomorphism and two key prior results.