On cyclic branched coverings of prime knots


The Torelli subgroup of Out(Fn) Mladen Bestvina, Utah The group in the title is the kernel of the natural map Out(Fn) –> GLn(Z). As for the classical mapping class group counterparts (except for the work of Mess in low genus), the basic features such as the dimension and finiteness properties are unknown. I will describe an approach to an understanding to these groups that leads to a complete success when n=3 and to at least a partial success when n=4. This work is joint with Kai-Uwe Bux and Dan Margalit, and is still in progress.

Cite this paper

@inproceedings{Boileau2005OnCB, title={On cyclic branched coverings of prime knots}, author={Michel Boileau and Tim Cochran}, year={2005} }