Four-manifolds up to connected sum with complex projective planes

Kasprowski, D., Powell, M. and Teichner, P. (2022) Four-manifolds up to connected sum with complex projective planes. American Journal of Mathematics, 144(1), pp. 75-118. (doi: 10.1353/ajm.2022.0001)

Abstract

Based on results of Kreck, we show that closed, connected $4$-manifolds up to connected sum with copies of the complex projective plane are classified in terms of the fundamental group, the orientation character and an extension class involving the second homotopy group. For fundamental groups that are torsion free or have one end, we reduce this further to a classification in terms of the homotopy 2-type.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Powell, Dr Mark
• Authors: Kasprowski, D., Powell, M., and Teichner, P.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: American Journal of Mathematics
• Publisher: Johns Hopkins University Press
• ISSN: 0002-9327
• ISSN (Online): 1080-6377
• Published Online: 13 January 2022
• Copyright Holders: Copyright © 2022 Johns Hopkins University Press
• First Published: First published in American Journal of Mathematics 144(1):75-118
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher

Related URLs

• arXiv