Every Endomorphism of the Framed Little Disk Operad is an Automorphism
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911253086076928 |
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| author | Rolf, Alice |
| author_facet | Rolf, Alice |
| contents | In a recent paper, Horel-Krannich-Kupers proved that all endomorphisms of the little $d$-disk operad are automorphisms. In this paper we show that this is also true for the framed little $d$-disk operad by using the classification of self maps of simple Lie groups. We also examine whether this property holds for the swiss cheese operad and prove that it holds for some other semidirect products of a group with a little disk operad. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04828 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Every Endomorphism of the Framed Little Disk Operad is an Automorphism Rolf, Alice Algebraic Topology Geometric Topology 55P48 (Primary 18N70, 55R37 (Secondary) In a recent paper, Horel-Krannich-Kupers proved that all endomorphisms of the little $d$-disk operad are automorphisms. In this paper we show that this is also true for the framed little $d$-disk operad by using the classification of self maps of simple Lie groups. We also examine whether this property holds for the swiss cheese operad and prove that it holds for some other semidirect products of a group with a little disk operad. |
| title | Every Endomorphism of the Framed Little Disk Operad is an Automorphism |
| topic | Algebraic Topology Geometric Topology 55P48 (Primary 18N70, 55R37 (Secondary) |
| url | https://arxiv.org/abs/2511.04828 |