The stable Adams operations on Hermitian K-theory
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913638015565824 |
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| author | Fasel, Jean Haution, Olivier |
| author_facet | Fasel, Jean Haution, Olivier |
| contents | We prove that exterior powers of (skew-)symmetric bundles induce a $λ$-ring structure on the ring $GW^0(X) \oplus GW^2(X)$, when $X$ is a scheme where $2$ is invertible. Using this structure, we define stable Adams operations on Hermitian $K$-theory. As a byproduct of our methods, we also compute the ternary laws associated to Hermitian $K$-theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_08871 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The stable Adams operations on Hermitian K-theory Fasel, Jean Haution, Olivier K-Theory and Homology Algebraic Geometry We prove that exterior powers of (skew-)symmetric bundles induce a $λ$-ring structure on the ring $GW^0(X) \oplus GW^2(X)$, when $X$ is a scheme where $2$ is invertible. Using this structure, we define stable Adams operations on Hermitian $K$-theory. As a byproduct of our methods, we also compute the ternary laws associated to Hermitian $K$-theory. |
| title | The stable Adams operations on Hermitian K-theory |
| topic | K-Theory and Homology Algebraic Geometry |
| url | https://arxiv.org/abs/2005.08871 |