#### Vol. 315, No. 1, 2021

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Ribbon cobordisms between lens spaces

### Marius Huber

Vol. 315 (2021), No. 1, 111–128
##### Abstract

We determine when there exists a ribbon rational homology cobordism between two connected sums of lens spaces, i.e., one without $3$-handles. In particular, we show that if an oriented rational homology sphere $Y$ admits a ribbon rational homology cobordism to a lens space, then $Y$ must be homeomorphic to $L\left(n,1\right)$, up to orientation-reversal. As an application, we classify ribbon $\chi$-concordances between connected sums of $2$-bridge links. Our work builds on Lisca’s work on embeddings of linear lattices.

##### Keywords
lens space, ribbon cobordism, intersection lattice, 2-bridge knot
Primary: 57M99