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Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
Riemannian filling-discs van Kampen diagrams
2015/8/26
The diameter of a disc filling a loop in the universal covering of a Riemannian manifold M may be measured extrinsically using the distance function on the ambient space or intrinsically using the ind...
In the present paper a criteria for a rectangular diagram to admit a simplification is given in terms of Legendrian knots. It is shown that there are two types of simplifications which are mutually in...
Homotopy coherent diagrams and approximate fibrations
Approximate fibration homotopy coherence ENR
2011/9/21
Abstract: Let p be a fibration over a finite simplicial complex, whose fibers have the homotopy type of finite simplicial complexes. Then p is equivalent to an approximate fibration whose total space ...
Chebyshev Blossom in Muntz Spaces: Toward Shaping with Young Diagrams
Extended Chebyshev systems Chebyshev blossom Computer aided design Chebyshev-Bernstein basis Schur functions Young diagrams
2011/9/5
Abstract: The notion of blossom in extended Chebyshev spaces offers adequate generalizations and extra-utilities to the tools for free-form design schemes. Unfortunately, such advantages are often ove...
On resolutions of diagrams of algebras
diagrams of algebras Algebraic Topology K-Theory and Homology
2011/8/29
Abstract: We prove a restricted version of a conjecture by M. Markl on resolutions of an operad describing diagrams of algebras. We discuss a particular case related to the Gerstenhaber-Schack diagram...
MD-Predicted Phase diagrams for Pattern Formation due to Ion Irradiation
MD-Predicted Phase diagrams Pattern Formation Ion Irradiation
2011/3/3
Energetic particle irradiation of solids can cause surface ultra-smoothening 1, selforganized
nanoscale pattern formation 2, or degradation of the structural integrity of nuclear reactor components 3...
Algebra of differential operators associated with Young diagrams
Algebra of differential operators Young diagrams
2011/1/17
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the co...
Bifurcation diagrams on iso-energetic levels of the Kowalevski-Yehia gyrostat
Bifurcation diagrams iso-energetic levels Kowalevski-Yehia gyrostat
2011/3/3
Предложен новый взгляд на классификацию бифуркационных диаграмм и условия существования критических движений интегрируемой задачи о движении тяжелого гиростата при условиях типа Кова-левской (случай и...
According to Giroux, contact manifolds can be described as open books whose pages are Stein manifolds. For 5-dimensional contact manifolds the pages are Stein surfaces, which permit a description via ...
Bifurcation diagrams on iso-energetic levels of the Kowalevski-Yehia gyrostat
Bifurcation diagrams iso-energetic levels of the Kowalevski-Yehia gyrostat
2010/12/28
Предложен новый взгляд на классификацию бифуркационных диаграмм и условия существования критических движений интегрируемой задачи о движении тяжелого гиростата при условиях типа Кова-левской (случай и...
Border Algorithms for Computing Hasse Diagrams of Arbitrary Lattices
Lattices Hasse diagrams border algorithms
2011/3/2
The Border algorithm and the iPred algorithm find the Hasse diagrams of FCA lattices. We show that they can be generalized to ar-bitrary lattices. In the case of iPred, this requires the identificatio...
We characterize planar diagrams which may be divided into n arc embeddings in terms of their chord diagrams, generalizing a result of Taniyama for the case n = 2. Two algorithms are provided, one whi...
Surgery Diagrams for Contact 3-Manifolds
contact 3-manifold Legendrian link contact surgery spinc structure
2010/2/26
In two previous papers, the two first-named authors introduced a notion of contact r-surgery along Legendrian knots in contact 3-manifolds. They also showed how (at least in principle) to convert any ...
Efficient Counting and Asymptotics of k-Noncrossing Tangled Diagrams
Efficient Counting Asymptotics k-Noncrossing Tangled Diagrams
2014/6/3
In this paper, we enumerate k-noncrossing tangled-diagrams. A tangled-diagram is a labeled graph with vertices 1,..., n, having degree ≤ 2, which are arranged in increasing order in a horizontal line....
Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams
Representations of the Temperley-Lieb Algebra New Inner Product Half-Diagrams
2011/1/17
The Temperley-Lieb algebra is an algebra given by generators and relations which arose in a problem in statistical mechanics considered by Temper-ley and Lieb [8]. Since then the algebra has been used...