Thurston norm revisited
نویسنده
چکیده
We study noncommutative C∗-algebras arising in geometric topology. Our object are Thurston’s norms on the second homology of Stallings’ fibrations. It is shown that Thurston’s norm is a matter of pure algebra, if one looks at the Bratteli diagram of an AF C∗-algebra attached to measured geodesic laminations on a compact surface of genus greater or equal to 2. This approach leads to computational gains, since it helps to reduce topological problem to an algebraic one. In particular, we prove that Thurston’s norm is a full invariant of Stallings’ fibration.
منابع مشابه
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