Strongly-cyclic branched coverings of knots via (g, 1)-decompositions |
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| Authors: | P Cristofori M Mulazzani A Vesnin |
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| Institution: | (1) Department of Mathematics, University of Modena and Reggio Emilia, Modena, Italy;(2) Department of Mathematics and C.I.R.A.M., University of Bologna, Bologna, Italy;(3) Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia |
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| Abstract: | Strongly-cyclic branched coverings of knots are studied by using their (g, 1)-decompositions. Necessary and sufficient conditions for the existence and uniqueness of such coverings are obtained.
It is also shown that their fundamental groups admit geometric g-words cyclic presentations.
Work performed under the auspices of G.N.S.A.G.A. of I.N.d.A.M. of Italy and supported by M.U.R.S.T., by the University of
Bologna, funds for selected research topics. The third named author was also supported by the INTAS project “CalcoMet-GT”
03-51-3663, the grant of RFRB, and the grant of SB RAN. |
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| Keywords: | (g 1)-knots (g 1)-decompositions cyclic branched coverings presentations of groups Heegaard splittings Heegaard diagrams |
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