Second homotopy classes associated with non-cancellative monoids
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911755773411328 |
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| author | Saito, Kyoji |
| author_facet | Saito, Kyoji |
| contents | We construct second homotopy classes associated with twins of non-cancellative tuples of a monoid, where the monoid is defined by the semi-positive fundamental relations of the fundamental group of a CW-complex. As an application, we reconstruct the second homotopy classes for the complement of generic lines arrangement studied by Akio Hattori. We aim to apply the theory for the complement of elliptic discriminant loci in a forthcoming work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16951 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Second homotopy classes associated with non-cancellative monoids Saito, Kyoji Algebraic Topology Algebraic Geometry 55P99, 55Q05 We construct second homotopy classes associated with twins of non-cancellative tuples of a monoid, where the monoid is defined by the semi-positive fundamental relations of the fundamental group of a CW-complex. As an application, we reconstruct the second homotopy classes for the complement of generic lines arrangement studied by Akio Hattori. We aim to apply the theory for the complement of elliptic discriminant loci in a forthcoming work. |
| title | Second homotopy classes associated with non-cancellative monoids |
| topic | Algebraic Topology Algebraic Geometry 55P99, 55Q05 |
| url | https://arxiv.org/abs/2312.16951 |