Moduli space of nonnegatively curved metrics on manifolds of dimension 4k + 1

Dessai, Anand

doi:10.2140/agt.2022.22.325

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

Moduli space of nonnegatively curved metrics on manifolds of dimension $4k+1$

Anand Dessai

Algebraic & Geometric Topology 22 (2022) 325–347

DOI: 10.2140/agt.2022.22.325

Abstract

In each dimension $4 k + 1 \geq 9$ , we exhibit infinite families of closed manifolds with fundamental group $ℤ_{2}$ for which the moduli space of metrics of nonnegative sectional curvature has infinitely many path components. Examples of closed manifolds with finite fundamental group with this property were known before only in dimension $5$ and dimensions $4 k + 3 \geq 7$ .

PDF Access Denied

We have not been able to recognize your IP address 18.224.149.242 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

moduli spaces, nonnegative curvature, eta-invariants, diffeomorphism classification

Mathematical Subject Classification

Primary: 53C20, 58D27, 58J28

Secondary: 19K56, 53C27, 57R55

References

Publication

Received: 30 May 2020

Revised: 15 January 2021

Accepted: 9 February 2021

Published: 26 April 2022

Authors

Anand Dessai
Department of Mathematics University of Fribourg Fribourg Switzerland
https://homeweb.unifr.ch/dessaia/pub/

Volume 22, issue 1 (2022)