The Main Algorithm

Abstract

The algorithm presented in this chapter provides 4 the plumbing representations of the 3-manifolds $\partial{F},\,\,\partial_{1}{{F}}\,{\rm{and}}\,\partial_{2}{{F}},$ and the 5 multiplicity systems of the open book decomposition of $\partial{F},\,{V}_{g}$ as well as the 6 generalized Milnor fibrations $\partial{F},\, \backslash {V}_{g}\,\partial{1}{{F}}\,\backslash{V}_{g}{\rm\,{and}}\,\partial_{2}\,{{F}}\,{\rm{over}}\,{S}^1\,{\rm{induced \,by \, arg(g)\,=\, / |g|}}$