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Cyclic branched cover homology calculator


This calculator computes the homology of the N-fold cyclic branched cover of a knot, given N and the Seifert matrix for the knot. (The Seifert matrix can be cut-and-pasted from a KnotInfo table.)

For example, if N = 3 and the Seifert matrix is that of the figure eight knot, [[1,1],[0,-1]], then the returned value is [4,4]. That is, the homology of the 3-fold cyclic cover of the trefoil is Z_4 + Z_4.


Degree of cyclic cover=
Seifert matrix=