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- W3198448978 abstract "We say that a collection of geodesics in the hyperbolic plane H 2 is a modular pattern if is invariant under the modular group PSL 2 (Z), if there are only nitely many PSL 2 (Z){equivalence classes of geodesics in , and if each geodesic in is stabilized by an innite order subgroup of PSL 2 (Z). For instance, any nite union of closed geodesics on the modular orbifold H 2 =PSL2(Z ) lifts to a modular pattern. Let S 1 be the ideal boundary of H 2 .G iven two pointsp;q2 S 1 we write p q if p and q are the endpoints of a geodesic in . (In particular p p.) We will see in section 3.2 that is an equivalence relation. We let Q = S 1 = be the quotient space. We call Q a modular circle quotient. In this paper we will give a sense of what modular circle quotients look like by realizing them as limit sets of piecewise-linear group actions" @default.
- W3198448978 created "2021-09-13" @default.
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- W3198448978 date "2003-01-01" @default.
- W3198448978 modified "2023-09-27" @default.
- W3198448978 title "modular circle quotients and PL limit sets" @default.
- W3198448978 hasPublicationYear "2003" @default.
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