منابع مشابه
Obstructions to the Smoothing of Piecewise- Differentiable Homeomorphisms
Since the publication in 1956 of John Milnor's fundamental paper [l ] in which he constructs differentiable structures on S nondiffeomorphic to the standard one, several further results concerning differentiable structures have been obtained by Milnor, R. Thorn, and others. This paper unifies and extends some of these results within the framework of an obstruction theory. Two differentiable man...
متن کاملLie Cylinders and Higher Obstructions to Deforming Submanifolds
To every morphism χ : L → M of differential graded Lie algebras we associate a functors of artin rings Defχ whose tangent and obstruction spaces are respectively the first and second cohomology group of the cylinder of χ. Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanifold of a Kähler manifo...
متن کاملLie Description of Higher Obstructions to Deforming Submanifolds
To every morphism χ : L → M of differential graded Lie algebras we associate a functors of artin rings Defχ whose tangent and obstruction spaces are respectively the first and second cohomology group of the suspension of the mapping cone of χ. Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanif...
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In this paper we show results on the combinatorial properties of shifted simplicial complexes. We prove two intrinsic characterization theorems for this class. The first theorem is in terms of a generalized vicinal preorder. It is shown that a complex is shifted if and only if the preorder is total. Building on this we characterize obstructions to shiftedness and prove there are finitely many i...
متن کاملA local smoothing estimate in higher dimensions
Let N be a large parameter, C a constant, and let ΓN (C) denote the C-neighborhood of the cone segment {ξ : 2−CN ≤ |ξ| ≤ 2N}. For fixed N , we take a partition of unity subordinate to a covering of Sd−1 by caps Θ of diameter about N− 1 2 , and use this to form a (smooth) partition of unity yΘ on ΓN(C) in the natural way. We will write ΓN,Θ(C) = supp yΘ. Let ΞΘ be a function whose Fourier transf...
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ژورنال
عنوان ژورنال: Topology
سال: 1965
ISSN: 0040-9383
DOI: 10.1016/0040-9383(65)90047-9