THE 5-LOCAL HOMOTOPY OF eo4
نویسنده
چکیده
We compute the 5-local cohomology of a particular Hopf algebroid related to algebraic topology and algebraic geometry. This computation arises in a number of settings, and it is a 5-local analogue of the Weierstrass Hopf algebroid used to compute tmf homology. We finish the paper by computing Adams-Novikov differentials in the cohomology, giving the homotopy, V (0)homology, and V (1)-homology of the putative spectrum eo4.
منابع مشابه
THE HOMOTOPY GROUPS OF SE(2) AT p ≥ 5 REVISITED
We present a new technique for analyzing the v0-Bockstein spectral sequence studied by Shimomura and Yabe. Employing this technique, we derive a conceptually simpler presentation of the homotopy groups of the E(2)-local sphere at primes p ≥ 5. We identify and correct some errors in the original ShimomuraYabe calculation. We deduce the related K(2)-local homotopy groups, and discuss their manife...
متن کاملAnalytical and Numerical Studies on Hydromagnetic Flow of Boungiorno Model Nanofluid over a Vertical Plate
MHD boundary layer flow of two phase model nanofluid over a vertical plate is investigated both analytically and numerically. A system of governing nonlinear partial differential equations is converted into a set of nonlinear ordinary differential equations by suitable similarity transformations and then solved analytically using homotopy analysis method and numerically by the fourth order Rung...
متن کاملDynamic Response Analysis of Fractionally Damped Beams Subjected to External Loads using Homotopy Analysis Method
This paper examines the solution of a damped beam equation whose damping characteristics are well-defined by the fractional derivative (FD). Homotopy Analysis Method (HAM) is applied for calculating the dynamic response (DR). Unit step and unit impulse functions are deliberated for this analysis. Acquired results are illustrated to show the movement of the beam under various sets of parameters ...
متن کاملA new family in the stable homotopy groups of spheres
Let $p$ be a prime number greater than three. In this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(S)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm Ext}_A^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ up to nonzero scalar in the Adams spectral sequence, where $ngeq m+2>5$, $0leq sExt}_A^{s+2,q[(s+2)p...
متن کاملHaïm Brezis the Fascinating Homotopy Structure of Sobolev Spaces
— We discuss recent developments in the study of the homotopy classes for the Sobolev spaces W 1, p (M ; N). In particular, we report on the work of H. Brezis Y. Li [5] and F.B. Hang F.H. Lin [9].
متن کامل