Abstract
This paper produces explicit conjugacy paths for the product geometries H2×R and S2×R whose limits contain the geometry of the Heisenberg group's action on itself. These are the first such conjugacy limits to any model of Nil, continuing the program of Daryl Cooper, Jeffrey Danciger, and Anna Wienhard to determine all possible degenerations between Thurston geometries in (PGL(4,R),RP3).
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