Ribbon cobordisms between lens spaces
| Autor: | Marius Huber |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematics - Geometric Topology
010308 nuclear & particles physics Mathematics::K-Theory and Homology General Mathematics 010102 general mathematics 0103 physical sciences FOS: Mathematics Geometric Topology (math.GT) 0101 mathematics 01 natural sciences Mathematics::Algebraic Topology Mathematics::Symplectic Geometry Mathematics::Geometric Topology |
| DOI: | 10.48550/arxiv.2010.07207 |
| Popis: | 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 a lens space $L$ admits a ribbon rational homology cobordism to a different lens space, then $L$ must be homeomorphic to $L(n,1)$, 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. Comment: 15 pages, comments welcome |
| Databáze: | OpenAIRE |
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