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Surgeries on iterated torus knots bounding rational homology 4-balls

Lokteva, L. (2023) Surgeries on iterated torus knots bounding rational homology 4-balls. Proceedings of the Edinburgh Mathematical Society, 66(2), pp. 557-578. (doi: 10.1017/S0013091523000342)

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Abstract

We show that all large enough positive integral surgeries on algebraic knots bound a 4-manifold with a negative definite plumbing tree, which we describe explicitly. Then we apply the lattice embedding obstruction coming from Donaldson’s Theorem to classify the ones of the form S3n(T(p1,k1p1+1;p2,k2p2±1)) that also bound rational homology 4-balls.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Lokteva, Lisa
Authors: Lokteva, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Proceedings of the Edinburgh Mathematical Society
Publisher:Cambridge University Press
ISSN:0013-0915
ISSN (Online):1464-3839
Published Online:23 June 2023
Copyright Holders:Copyright © 2023 The Authors
First Published:First published in Proceedings of the Edinburgh Mathematical Society 66(2):557 - 578
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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