On the non-existence of elements of Kervaire invariant one

被引：0

作者：

Hill, Michael A. ^{[1
]}

Hopkins, Michael J. ^{[2
]}

Ravenel, Douglas C. ^{[3
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[2] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

[3] Univ Rochester, Dept Math, Rochester, NY 14627 USA

来源：

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II | 2014年

基金：

美国国家科学基金会;

关键词：

Kervaire invariant; algebraic topology; equivariant homotopy; bordism; slice filtration; HOMOTOPY; MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We sketch a proof of our solution to the Kervaire invariant one problem, showing that there are Kervaire invariant one manifolds only in dimensions 2, 6, 14, 30, 62, and possibly 126. This resolves a long-standing problem in algebraic and differential topology.

引用

页码：1219 / 1243

页数：25

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