Computational tools for Real topological Hochschild homology
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929458376605696 |
|---|---|
| author | Lewis, Chloe |
| author_facet | Lewis, Chloe |
| contents | In this paper, we construct a Real equivariant version of the Bökstedt spectral sequence which takes inputs in the theory of Real Hochschild homology developed by Angelini-Knoll, Gerhardt, and Hill and converges to the equivariant homology of Real topological Hochschild homology, $\text{THR}$. We also show that when $A$ is a commutative $C_2$-ring spectrum, $\text{THR}(A)$ has the structure of an $A$-Hopf algebroid in the $C_2$-equivariant stable homotopy category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07188 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computational tools for Real topological Hochschild homology Lewis, Chloe Algebraic Topology K-Theory and Homology 55P91 (Primary), 19D55 (Secondary) In this paper, we construct a Real equivariant version of the Bökstedt spectral sequence which takes inputs in the theory of Real Hochschild homology developed by Angelini-Knoll, Gerhardt, and Hill and converges to the equivariant homology of Real topological Hochschild homology, $\text{THR}$. We also show that when $A$ is a commutative $C_2$-ring spectrum, $\text{THR}(A)$ has the structure of an $A$-Hopf algebroid in the $C_2$-equivariant stable homotopy category. |
| title | Computational tools for Real topological Hochschild homology |
| topic | Algebraic Topology K-Theory and Homology 55P91 (Primary), 19D55 (Secondary) |
| url | https://arxiv.org/abs/2408.07188 |