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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.
Adjunction inequality and coverings of Stein surfaces
Adjunction inequality coverings of Stein surfaces
2010/3/1
A stronger form of the adjunction inequality is proved for immersed real surfaces in non simply-connected Stein surfaces. The result is applied to the geometry of Stein domains and analytic continuati...