WebMay 10, 2015 · Here's what I know: Emb ( M, N) is open in C ∞ ( M, N), and dense if 2 m ≤ n. Also, the space of topologically stable maps M → N is open and dense in C ∞ ( M, N) (the Thom-Mather theorem). I believe it follows that every embedding is isotopic to a topologically stable, hence triangulable, embedding. – Mark Grant. May 12, 2015 at 1:13. WebMar 25, 2006 · A family of one-vertex triangulations of 3-manifolds, layered-triangulations, is defined. Layered-triangulations are first described for handlebodies and then extended to …

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WebThis paper describes a generalization of Heegaard splittings of 3-manifolds and trisections of 4-manifolds to all dimensions, using triangulations as a key tool. In particular, every closed piecewise linear n -manifold can be divided into k + 1 n -dimensional 1-handlebodies, where n = 2 k + 1 or n = 2 k , such that intersections of the handlebodies have spines of … WebDec 4, 2024 · The spaces of triangulations of a given manifold have been widely studied. The celebrated theorem of Pachner~\\cite{Pachner} says that any two triangulations of a … harrison county marshall tx

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Web0-efficient triangulations of 3-manifolds 63 ducible 3-manifold is 0-efficient, except for RP3 and L(3,1), and there-fore has just one vertex or is S3. The 3-sphere has two distinct, one … WebA symplectic approach to 3-manifold triangulations and hyperbolic structures - Dan MATHEWS, Monash University （2024-09-20） In the 1980s, Neumann and Zagier introduced a symplectic vector space associated to an ideal triangulation of a cusped 3-manifold, such as a knot complement. WebThe gauge symmetry of classical general relativity under space-time diffeomorphisms implies that any path integral quantization which can be interpreted as a sum over space-time geometries, gives rise to a formal invar… chargers chiefs stream