COBORDISM INVARIANCE OF THE HOMOTOPY TYPE OF THE SPACE OF POSITIVE SCALAR CURVATURE METRICS

被引：19

作者：

Walsh, Mark ^{[1
]}

机构：

[1] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 07期

关键词：

MANIFOLDS;

D O I：

10.1090/S0002-9939-2013-11647-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X and Y be a pair of smooth manifolds, each obtainable from the other by surgery in codimension at least three. We show that the corresponding spaces Riem(+)(X) and Riem(+)(Y), respectively consisting of Riemannian metrics of positive scalar curvature on X and Y, are homotopy equivalent. This result is originally due to V. Chernysh but remains unpublished.

引用

页码：2475 / 2484

页数：10

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