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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.21317 |
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| _version_ | 1866913056696565760 |
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| author | Camponovo, Sebastián M. Torres, Rafael |
| author_facet | Camponovo, Sebastián M. Torres, Rafael |
| contents | For each odd integer $p > 1$, we construct infinitely many pairwise non-diffeomorphic irreducible smooth structures on a definite 4-manifold with infinite fundamental group whose abelianization is $\Z/2p\Z\times \Z/2\Z$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21317 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Smooth structures on definite four-manifolds with infinite fundamental group Camponovo, Sebastián M. Torres, Rafael Geometric Topology For each odd integer $p > 1$, we construct infinitely many pairwise non-diffeomorphic irreducible smooth structures on a definite 4-manifold with infinite fundamental group whose abelianization is $\Z/2p\Z\times \Z/2\Z$. |
| title | Smooth structures on definite four-manifolds with infinite fundamental group |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2604.21317 |