The Chow--Witt rings of the classifying space of quadratically oriented bundles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913644028100608 |
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| author | Brazelton, Thomas Wendt, Matthias |
| author_facet | Brazelton, Thomas Wendt, Matthias |
| contents | In this paper we compute the Chow--Witt rings of the classifying space ${\rm BSL}_n^c$ of quadratically oriented vector bundles of rank $n$. We also discuss the corresponding quadratically-oriented cobordism spectrum ${\rm MSL}^c$ and show that it is equivalent to $\rm{MSL}$ after inverting $η$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Chow--Witt rings of the classifying space of quadratically oriented bundles Brazelton, Thomas Wendt, Matthias Algebraic Topology Algebraic Geometry K-Theory and Homology 14C17, 14F42, 19G12, 19D45, 55R40 In this paper we compute the Chow--Witt rings of the classifying space ${\rm BSL}_n^c$ of quadratically oriented vector bundles of rank $n$. We also discuss the corresponding quadratically-oriented cobordism spectrum ${\rm MSL}^c$ and show that it is equivalent to $\rm{MSL}$ after inverting $η$. |
| title | The Chow--Witt rings of the classifying space of quadratically oriented bundles |
| topic | Algebraic Topology Algebraic Geometry K-Theory and Homology 14C17, 14F42, 19G12, 19D45, 55R40 |
| url | https://arxiv.org/abs/2501.06302 |