The strong Kervaire invariant problem in dimension 62

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Relations amongst Toda Brackets and the Kervaire Invariant in Dimension 62

In this paper we use relations amongst Toda brackets and a lot of detailed information about the homotopy groups of spheres to show that there exists a 62-dimensional framed manifold with Kervaire invariant one. This paper, together with [4, 5], represents an effort to supply full details for a number of the results announced in [11], and to explore further some of the ideas behind that paper. ...

متن کامل

The 3-primary Arf-Kervaire invariant problem

1 The main point of this talk The main point of this talk The 3-primary Arf-Kervaire invariant problem is still open. We have a program for solving it similar to what we did for p = 2. We are missing a crucial ingredient. Defining the problem The Arf-Kervaire invariant problem for a prime p is to determine the fate of the elements θ j = h 2 j for p = 2 b j−1 for p > 2 ∈ Ext 2,2p j (p−1) A (Z/p,...

متن کامل

The Arf-kervaire Invariant Problem in Algebraic Topology: Introduction

This paper gives the history and background of one of the oldest problems in algebraic topology, along with a short summary of our solution to it and a description of some of the tools we use. More details of the proof are provided in our second paper in this volume, The Arf-Kervaire invariant problem in algebraic topology: Sketch of the proof. A rigorous account can be found in our preprint Th...

متن کامل

A solution to the Arf-Kervaire invariant problem

We gave a series of four lectures, the first by the second author and the rest by the first author. The latter was followed by a 2 hour question and answer session. The problem in question is nearly 50 years old and began with Kervaire’s paper [Ker60] of 1960 in which he defined a Z/2-valued invariant φ(M) on certain manifolds M of dimension 4m + 2. He showed that for m = 2 and M aclosed smooth...

متن کامل

The Kervaire invariant of immersions

where f2. G is an appropriate cobordism theory of immersed submanifolds of Euclidean space. By generalizing techniques of Browder [2] we shall give necessary and sufficient Adams spectral sequence conditions for an element in t2. G to have nonzero Kervaire invariant. Also we will prove that for every j > 1 there exists a closed, differentiable manifold of dimension 2 ) § together with an immers...

متن کامل

ذخیره 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: Geometry & Topology

سال: 2016

ISSN: 1364-0380,1465-3060

DOI: 10.2140/gt.2016.20.1611