Moduli spaces of Ricci positive metrics in dimension five

被引：1

作者：

Goodman, McFeely Jackson ^{[1
]}

机构：

[1] Colby Coll, Dept Math, Waterville, ME 04901 USA

来源：

GEOMETRY & TOPOLOGY | 2024年 / 28卷 / 03期

基金：

美国国家科学基金会;

关键词：

CONNECTED-SUMS; SPECTRAL ASYMMETRY; FUNDAMENTAL GROUP; ETA-INVARIANT; CURVATURE; MANIFOLDS; CLASSIFICATION; 5-MANIFOLDS; TOPOLOGY;

D O I：

10.2140/gt.2024.28.1065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the similar to invariants of spinc Dirac operators to distinguish connected components of moduli spaces of Riemannian metrics with positive Ricci curvature. We then find infinitely many nondiffeomorphic five-dimensional manifolds for which these moduli spaces each have infinitely many components. The manifolds are total spaces of principal S1 bundles over #(CP2)-C-a #(b) CP2 and the metrics are lifted from Ricci positive metrics on the bases. Along the way we classify 5-manifolds with fundamental group Z(2) admitting free S-1 actions with simply connected quotients.

引用

页码：1065 / 1098

页数：34

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