13,951 research outputs found

    Complex hyperbolic free groups with many parabolic elements

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    We consider in this work representations of the of the fundamental group of the 3-punctured sphere in PU(2,1){\rm PU}(2,1) such that the boundary loops are mapped to PU(2,1){\rm PU}(2,1). We provide a system of coordinates on the corresponding representation variety, and analyse more specifically those representations corresponding to subgroups of (3,3,∞)(3,3,\infty)-groups. In particular we prove that it is possible to construct representations of the free group of rank two \la a,b\ra in PU(2,1){\rm PU}(2,1) for which aa, bb, abab, ab−1ab^{-1}, ab2ab^2, a2ba^2b and [a,b][a,b] all are mapped to parabolics.Comment: 21 pages, 11 figure

    Should You Stop Investing in a Sinking Fund When it’s Sinking?

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    Process for curing bismaleimide resins

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    This invention relates to vinyl pyridine group containing compounds and oligomers, their advantageous copolymerization with bismaleimide resins, and the formation of reinforced composites based on these copolymers. When vinyl pyridines including vinyl stilbazole materials and vinyl styrylpyridine oligomer materials are admixed with bismaleimides and cured to form copolymers the cure temperatures of the copolymers are substantially below the cure temperatures of the bismaleimides alone
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