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This article is available for purchase or by subscription. See below.
Abstract
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We determine when there exists a ribbon rational homology cobordism
between two connected sums of lens spaces, i.e., one without
-handles.
In particular, we show that if an oriented rational homology sphere
admits a ribbon rational homology cobordism to a lens space, then
must be
homeomorphic to
,
up to orientation-reversal. As an application, we classify ribbon
-concordances between
connected sums of
-bridge
links. Our work builds on Lisca’s work on embeddings of linear lattices.
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Keywords
lens space, ribbon cobordism, intersection lattice,
2-bridge knot
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Mathematical Subject Classification
Primary: 57M99
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Milestones
Received: 6 April 2021
Revised: 16 September 2021
Accepted: 17 September 2021
Published: 13 December 2021
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