Mathematics – Quantum Algebra
Scientific paper
1996-09-22
Mathematics
Quantum Algebra
52 pages, AMSLatex, 20 figures
Scientific paper
We apply the theory of finite-type invariants of homology 3-spheres to
investigate the structure of the Torelli group. We construct natural cocycles
in the Torelli group and show that the lower central series quotients of the
Torelli group map onto a vector space of trivalent graphs. We also have
analogous results for two other natural subgroups of the mapping class group.
Garoufalidis Stavros
Levine Jerome
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