Line Bundle Twists for Unitary Bordism are Ghosts
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909741772439552 |
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| author | Hertl, Thorsten |
| author_facet | Hertl, Thorsten |
| contents | We prove that the canonical twist $ζ\colon K(\mathbb{Z},3) \rightarrow BGL_1(MSpin^c)$ does not extend to a twist for unitary bordism by showing that every continuous map $f \colon K(\mathbb{Z},3) \rightarrow BGL_1(MU)$ loops to a null homotopic map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_09919 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Line Bundle Twists for Unitary Bordism are Ghosts Hertl, Thorsten Algebraic Topology K-Theory and Homology 55N22 (Primary), 55P42 (Primary), 55R37 (Primary), 14L05 (Secondary), 19L50 (Secondary) We prove that the canonical twist $ζ\colon K(\mathbb{Z},3) \rightarrow BGL_1(MSpin^c)$ does not extend to a twist for unitary bordism by showing that every continuous map $f \colon K(\mathbb{Z},3) \rightarrow BGL_1(MU)$ loops to a null homotopic map. |
| title | Line Bundle Twists for Unitary Bordism are Ghosts |
| topic | Algebraic Topology K-Theory and Homology 55N22 (Primary), 55P42 (Primary), 55R37 (Primary), 14L05 (Secondary), 19L50 (Secondary) |
| url | https://arxiv.org/abs/2202.09919 |