Equivariant $K$-theory of cellular toroidal embeddings
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910997957050368 |
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| author | Tchoudjem, Alexis Uma, V. |
| author_facet | Tchoudjem, Alexis Uma, V. |
| contents | In this article we describe the
$G_{comp}\times G_{comp}$-equivariant topological $K$-ring of a {\em
cellular} toroidal embedding $\mathbb{X}$ of a complex connected
reductive algebraic group $G$. In particular, our results extend the
results in \cite{u1} and \cite{u2} on the regular embeddings of $G$,
to the equivariant topological $K$-ring of a larger class of
(possibly singular) cellular toroidal embeddings. They are also a
topological analogue of the results in \cite{gon} on the operational
equivariant algebraic $K$-ring, for cellular toroidal
embeddings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07867 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivariant $K$-theory of cellular toroidal embeddings Tchoudjem, Alexis Uma, V. Algebraic Geometry K-Theory and Homology 19L47, 55R91, 14M27, 57SXX In this article we describe the $G_{comp}\times G_{comp}$-equivariant topological $K$-ring of a {\em cellular} toroidal embedding $\mathbb{X}$ of a complex connected reductive algebraic group $G$. In particular, our results extend the results in \cite{u1} and \cite{u2} on the regular embeddings of $G$, to the equivariant topological $K$-ring of a larger class of (possibly singular) cellular toroidal embeddings. They are also a topological analogue of the results in \cite{gon} on the operational equivariant algebraic $K$-ring, for cellular toroidal embeddings. |
| title | Equivariant $K$-theory of cellular toroidal embeddings |
| topic | Algebraic Geometry K-Theory and Homology 19L47, 55R91, 14M27, 57SXX |
| url | https://arxiv.org/abs/2506.07867 |