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Quandle homology and complex volume
quandle quandle homology extended Bloch group hyperbolic volume
2011/1/21
We introduce a new homology theory of quandles, called simplicial quandle homology, which is quite different from quandle homology developed by Carter et al. We construct a homomorphism from a quandle...
Cyclic branched coverings of knots and quandle homology
quandle homology group homology cyclic branched covering
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.
Low-dimensional homology groups of mapping class groups: a survey
Low-dimensional homology groups mapping class
2010/3/1
In this survey paper, we give a complete list of known results on the first and the second homology groups of surface mapping class groups. Some known results on higher (co) homology are also mentione...