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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Instanton Floer homology and Heegaard diagrams
瞬子 弗洛尔同调和 希加德图
2023/4/21
Instanton Floer homology was introduced by Floer in 1980s and has become a power invariants for three manifolds and knots since then. It has lead to many milestone results, such as the approval of Pro...
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...
Power counting of loop diagrams in general relativity
Cyclic graph the general theory of relativity energy expansion quantum effects physical power calculation
2014/12/23
A class of loop diagrams in general relativity appears to have a behavior which would upset the utility of the energy expansion for quantum effects. We show through the study of specific diagrams that...
Improved treatment of loop diagrams in SU(3) baryon chiral perturbation theory
Baryon chiral perturbation theory the chiral expansion cycle graph the amount of space
2014/12/22
Baryon chiral perturbation theory as conventionally applied has a well-known problem with the SU(3) chiral expansion in that loop diagrams generate very large SU(3) breaking corrections and greatly up...
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 ...
Infrared two-colour diagrams for AGB stars using AKARI, MSX, IRAS and NIR data
stars: AGB and post-AGB - circumstellar matter - infrared: stars - dust extinction - radiative transfer
2011/10/12
Using a revised version of the catalog of AGB stars by Suh & Kwon (2009), we present various infrared two-colour diagrams (2CDs) for 3003 O-rich, 1168 C-rich, 362 S-type and 35 silicate carbon stars i...
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...
Energies of knot diagrams.
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...