Positive Scalar Curvature and crystallographic fundamental groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910888024342528 |
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| author | Barcenas, Noe Velasquez, Mario |
| author_facet | Barcenas, Noe Velasquez, Mario |
| contents | We examine positive and negative results for the Gromov-Lawson-Rosenberg Conjecture within the class of crystallographic groups. We give necessary conditions within the class of split extensions of free abelian by cyclic groups to satisfy the unstable Gromov-Lawson-Rosenberg Conjecture. We also give necessary conditions within the same class of groups, producing an infinite number of counterexamples for the conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positive Scalar Curvature and crystallographic fundamental groups Barcenas, Noe Velasquez, Mario Algebraic Topology Differential Geometry Group Theory We examine positive and negative results for the Gromov-Lawson-Rosenberg Conjecture within the class of crystallographic groups. We give necessary conditions within the class of split extensions of free abelian by cyclic groups to satisfy the unstable Gromov-Lawson-Rosenberg Conjecture. We also give necessary conditions within the same class of groups, producing an infinite number of counterexamples for the conjecture. |
| title | Positive Scalar Curvature and crystallographic fundamental groups |
| topic | Algebraic Topology Differential Geometry Group Theory |
| url | https://arxiv.org/abs/2503.11931 |