Owens, B. (2020) Smooth, nonsymplectic embeddings of rational balls in the complex projective plane. Quarterly Journal of Mathematics, 71(3), pp. 997-1007. (doi: 10.1093/qmathj/haaa013)
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Abstract
We exhibit an infinite family of rational homology balls which embed smoothly but not symplectically in the complex projective plane. We also obtain a new lattice embedding obstruction from Donaldson's diagonalisation theorem, and use this to show that no two of our examples may be embedded disjointly.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Owens, Professor Brendan |
Authors: | Owens, B. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Quarterly Journal of Mathematics |
Publisher: | Oxford University Press |
ISSN: | 0033-5606 |
ISSN (Online): | 1464-3847 |
Published Online: | 30 June 2020 |
Copyright Holders: | Copyright © 2020 The Authors |
First Published: | First published in Quarterly Journal of Mathematics 71(3):997-1007 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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