The Johnson homomorphism and the third rational cohomology group of the Torelli group

نویسندگان

  • Takuya Sakasai
  • Shigeyuki Morita
چکیده

To study the structure of the Torelli group, the Johnson homomorphism and the representation theory of the symplectic group are essential tools. Using them, we give a lower bound for the dimension of the third rational cohomology group and a new approach to the non-triviality of characteristic classes of surface bundles on the Torelli group.

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تاریخ انتشار 2003