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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Suspension Homotopy of 4-manifolds And the Second 2-local Cohomotopy Sets
4-流形 悬浮同伦 第二个 2-局部 同伦集合
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2023/4/28
Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections
Hamiltonian vector field Anosov flow elliptic point homoclinic tangency
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2011/9/16
Abstract: In this note we show that for any Hamiltonian defined on a symplectic 4-manifold M and any point p in M, there exists a C2-close Hamiltonian whose regular energy surface through p is either ...
Lie-Hopf algebras and loop homology of suspension spaces
Lie-Hopf algebras loop homology suspension spaces
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2010/11/18
For an arbitrary topological space $X$, the loop space homology $H_*(\Omega\Sigma X; \mathbb{Z})$ is a Hopf algebra. We introduce a new homotopy invariant of a topological space $X$ that takes values...