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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A link invariant from higher-dimensional Heegaard Floer homology
高维 Heegaard-Floer同调 链接不变量
2023/11/13
We define a higher-dimensional analogue of symplectic Khovanov homology. Consider the standard Lefschetz fibration of a 2n-dimensional Milnor fiber of the A_{k-1} singularity. We represent a link by a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
2023/4/18
Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
Ridgelets: a key to higher-dimensional intermittency?
higher-dimensional intermittency wavelets
2015/8/21
We discuss in this paper a new subject, ridgelet analysis, which can e®ectively
deal with linelike phenomena in dimension 2, planelike phenomena in dimension
3 and so on. It encompasses a colle...
Constructing higher dimensional local fields
Constructing higher dimensional local fields Algebraic Geometry
2012/4/18
This note is a gentle introduction to higher dimensional local fields, with the motivating problem being the standard geometric "localisation-completion" process by which they can be constructed. A di...
Decay of linear waves on higher dimensional Schwarzschild black holes
Decay of linear waves higher dimensional Schwarzschild black holes
2011/3/4
In this paper we consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spacetimes and prove robust nondegenerate energy decay estimates that are in principle re...
Towards a homotopy theory of higher dimensional transition systems
homotopy theory dimensional transition systems
2010/11/9
We proved in a previous work that Cattani-Sassone's higher dimensional transition systems can be interpreted as a small-orthogonality class of a topological locally finitely presentable category of w...
Higher-dimensional normalisation strategies for acyclicity
Higher-dimensional normalisation strategies acyclicity
2010/11/9
We introduce acyclic track polygraphs, a notion of complete categorical cellular models for small categories: they are polygraphs containing generators, with additional invertible cells for relations ...
Non-trivial elements in the Abel-Jacobi kernels of higher dimensional varieties
algebraic cycles Chow motives Hodge filtration intermediate Jacobian
2010/12/1
The purpose of this paper is to construct new non-trivial elements in the kernels of the Abel-Jacobi maps from the Chow groups of codimension p algebraic cycles to the p-th intermediate Jacobians on h...
Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape
Stable unstable regimes higher-dimensional cylindrical shape
2010/12/15
We introduce a class of convex, higher-dimensional billiard models which generalise stadium billiards. These models correspond to the free motion of a point-particle in a region bounded by cylinders c...