ar X iv : m at h / 06 11 24 1 v 1 [ m at h . G T ] 8 N ov 2 00 6 Trees and mapping class groups
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چکیده
There is a forgetful map from the mapping class group of a punctured surface to that of the surface with one fewer puncture. We relate the action of the kernel on the curve complex to a family of actions on trees. Together with a geometric compactness argument we further prove that finitely generated purely pseudo-Anosov subgroups of the kernel are convex cocompact in the sense of Farb and Mosher. As a corollary, this answers their question of local convex cocompactness for Whittlesey’s group.
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ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions
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متن کاملar X iv : m at h / 06 11 35 3 v 1 [ m at h . G N ] 1 2 N ov 2 00 6 SQUARES OF MENGER - BOUNDED GROUPS
Using a portion of the Continuum Hypothesis, we prove that there is a Menger-bounded (also called o-bounded) subgroup of the Baire group Z, whose square is not Menger-bounded. This settles a major open problem concerning boundedness notions for groups, and implies that Menger-bounded groups need not be Scheepers-bounded.
متن کاملar X iv : m at h / 06 11 35 3 v 2 [ m at h . G N ] 1 6 N ov 2 00 6 SQUARES OF MENGER - BOUNDED GROUPS
Using a portion of the Continuum Hypothesis, we prove that there is a Menger-bounded (also called o-bounded) subgroup of the Baire group Z, whose square is not Menger-bounded. This settles a major open problem concerning boundedness notions for groups, and implies that Menger-bounded groups need not be Scheepers-bounded.
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تاریخ انتشار 2006