One point compactifications of configuration spaces and the self duality of the little disks operad
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911326750638080 |
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| author | Malin, Connor |
| author_facet | Malin, Connor |
| contents | Using configuration space level Pontryagin--Thom constructions, we construct a simple Koszul self duality map for the little disks operad $Σ^\infty_+ E_n$. For a framed $n$-manifold $M$, we show that a compatible self duality map exists for $Σ^\infty_+ E_M$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16605 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | One point compactifications of configuration spaces and the self duality of the little disks operad Malin, Connor Algebraic Topology Geometric Topology 57N65 Using configuration space level Pontryagin--Thom constructions, we construct a simple Koszul self duality map for the little disks operad $Σ^\infty_+ E_n$. For a framed $n$-manifold $M$, we show that a compatible self duality map exists for $Σ^\infty_+ E_M$. |
| title | One point compactifications of configuration spaces and the self duality of the little disks operad |
| topic | Algebraic Topology Geometric Topology 57N65 |
| url | https://arxiv.org/abs/2309.16605 |