A piecewise linear proof that the singular norm is the Thurston norm
نویسندگان
چکیده
منابع مشابه
The Thurston Norm
Suppose a 2-handle is attached to a compact orientable 3-manifold M along an annulus A contained in a subsurface N of a M . If N is compressible in M, but N -A is not, then the Thurston norm is unaffected. This generalizes a series of results due to Przytycki, Jaco, and Johannson. Following Thurston [Th],define the complexity X(S) of an oriented surface S to be -x(C), where C is the union of al...
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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 computationa...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1993
ISSN: 0166-8641
DOI: 10.1016/0166-8641(93)90082-o