Talk:Fundamental domain

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[edit] Suggestions

This page should probably be merged with free regular set.linas 17:17, 15 Feb 2005 (UTC)

Nahh. linas 05:19, 9 November 2006 (UTC)

[edit] Knots

Some of the hyperbolic ones are related to knot complements. e.g. the classic number theory one is the complement of the trefoil knot mod the stabilizer SO(2). Or something like that. Note the presentation y^2=x^3 for the trefoil is the same presentation as for the modular group. Or something like that. Or so I overheard at a party. What I'd like to know is ... are all homogeneous spaces knot complements? if not, why not? linas 05:19, 9 November 2006 (UTC)

[edit] General definition ?

Hello, I am wondering if the definition given in the article is general enough (a fundamental domain is a set D of representatives for the cosets of Γ in G, Γ being a lattice of the Lie group G). The article on Mathworld doesn't make any reference to Lie groups. I must also say that as a newcomer to these theories, I find the definition from Mathworld clearer. Is it legal to just copy it? (just the definition, which should be public domain). --Mathieu Perrin (talk) 06:07, 2 March 2008 (UTC)