منابع مشابه
On the Non-existence of Elements of Kervaire Invariant One
We show that the Kervaire invariant one elements θj ∈ π2j+1−2S 0 exist only for j ≤ 6. By Browder’s Theorem, this means that smooth framed manifolds of Kervaire invariant one exist only in dimensions 2, 6, 14, 30, 62, and possibly 126. Except for dimension 126 this resolves a longstanding problem in algebraic topology.
متن کاملExistence of Invariant Bases
Let 7<" be a field, G a group of automorphisms of K, and M a vector space over K on which G acts in such a way that a(aD) = aa-crD for &EG, aEK, and DEM. The problem arises to find whether M has a basis consisting of invariant elements under G. In other words, letting K0 be the fixed field under G, and M0 the set of fixed elements of M under G so that Mo is a vector space over Ko, to find out w...
متن کاملExistence of Critical Invariant Tori
We consider analytic Hamiltonian systems with two degrees of freedom, and prove that every Hamiltonian on the strong local stable manifold of the renormalization group fixed point obtained in [26] has a non-differentiable golden invariant torus (conjugacy to a linear
متن کاملRegularity of critical invariant circles of the standard nontwist map
We study critical invariant circles of several noble rotation numbers at the edge of break-up for an area-preserving map of the cylinder, which violates the twist condition. These circles admit essentially unique parametrizations by rotational coordinates. We present a high accuracy computation of about 107 Fourier coefficients. This allows us to compute the regularity of the conjugating maps a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1984
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700002455