Abstract:We describe all groups that can be generated by two twists along spherical sequences in an enhanced triangulated category. It will be shown that with one exception such a group is isomorphic to an abelian group generated by not more than two elements, the free group on two generators or the braid group of one of the types
$A_2$
,
$B_2$
and
$G_2$
factorised by a central subgroup. The last mentioned subgroup can be nontrivia… Show more
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