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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.00962 |
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Table of Contents:
- We use the companion matrix construction for $\mathrm{GL}_n$ to build canonical sections of the Chevalley map $[\mathfrak{g}/G]\to \mathfrak{g}/\!/ G$ for classical groups $G$ as well as the group $G_2$. To do so, we construct canonical tensors on the associated spectral covers. As an application, we make explicit lattice descriptions of affine Springer fibers and Hitchin fibers for classical groups and $G_2$.