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Cyclic branched coverings of knots and quandle homology
quandle homology group homology cyclic branched covering
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2011/2/22
We give a construction of quandle cocycles from group cocycles,especially quandle cocycles of the dihedral quandle Rp from group cocycles of the cyclic group Z/p.
Geometrization of postcritically finite branched coverings
Geometrization postcritically finite branched coverings
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2010/11/15
We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K.~Pilgrim. We show that every hyperbolic cycle in the decomposition does not have a Thurst...