An exposition of the calculation of the second rational cohomology group of the Torelli group using the Johnson homomorphism and two key prior results.
Putman, Twisted mapping class group calculator (C++ code), available on author’s website
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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.