By Gregory W. Brumfiel
This booklet is largely self-contained and calls for just a uncomplicated summary algebra direction as history. The booklet contains and extends a lot of the classical concept of $SL(2)$ representations of teams. Readers will locate $SL(2)$Representations of Finitely provided teams proper to geometric conception of 3 dimensional manifolds, representations of countless teams, and invariant conception. It positive aspects: a brand new finitely computable invariant $H[\pi]$ linked to teams and used to check the $SL(2)$ representations of $\pi$; and, invariant concept and knot concept comparable via $SL(2)$ representations of knot teams.
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