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Showing 1 to 1 of 1 for “"symmetric Torelli group"”.
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Subgroups of the Torelli group
Let Mod(Sg) be the mapping class group of an orientable surface of genus g, Sg. The action of Mod(Sg) on the homology of Sg induces the well-known symplectic representation: <BR> <BR> <center>Mod(Sg) ---> Sp(2g, Z).</center> <BR> The kernel of this representation is called the Torelli group, I(Sg). …