Vol. 3, No. 1, 2021

Download this article
Download this article For screen
For printing
Recent Issues
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
Statement, 2023
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 2576-7666
ISSN (print): 2576-7658
Author index
To appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
Characteristic classes of bundles of K3 manifolds and the Nielsen realization problem

Jeffrey Giansiracusa, Alexander Kupers and Bena Tshishiku

Vol. 3 (2021), No. 1, 75–92
Abstract

Let K be the K3 manifold. In this note, we discuss two methods to prove that certain generalized Miller–Morita–Mumford classes for smooth bundles with fiber K are nonzero. As a consequence, we fill a gap in a paper of the first author, and prove that the homomorphism Diff(K) π0 Diff(K) does not split. One of the two methods of proof uses a result of Franke on the stable cohomology of arithmetic groups that strengthens work of Borel, and may be of independent interest.

PDF Access Denied

We have not been able to recognize your IP address 44.222.104.206 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
characteristic classes, K3 surfaces, arithmetic groups, cohomology
Mathematical Subject Classification 2010
Primary: 19J35, 57R20
Secondary: 11F75, 14J28
Milestones
Received: 3 August 2019
Revised: 25 November 2019
Accepted: 10 December 2019
Published: 20 May 2020
Authors
Jeffrey Giansiracusa
Department of Mathematics
Swansea University
Swansea
United Kingdom
Alexander Kupers
Department of Mathematics
Harvard University
Cambridge, MA
United States
Bena Tshishiku
Department of Mathematics
Harvard University
Cambridge, MA
United States
Department of Mathematics
Brown University
Providence, RI
United States