Thurston norm
= Thurston norm
{wiki=Thurston_norm}
The Thurston norm is a mathematical concept in the field of low-dimensional topology, particularly in the study of 3-manifolds. It provides a way to assign a "norm" to elements of the second homology group \\( H_2(M; \\mathbb\{R\}) \\) of a 3-manifold \\( M \\). This norm is associated with the concept of surface representations in the manifold and is used to measure the complexity of surfaces that can be embedded into the manifold.