The real spectrum compactification of character varieties
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908448361283584 |
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| author | Burger, Marc Iozzi, Alessandra Parreau, Anne Pozzetti, Maria Beatrice |
| author_facet | Burger, Marc Iozzi, Alessandra Parreau, Anne Pozzetti, Maria Beatrice |
| contents | We study the real spectrum compactification of character varieties of finitely generated groups in semisimple Lie groups. This provides a compactification with good topological properties, and we interpret the boundary points in terms of actions on building-like spaces. Among the applications we give a general framework guaranteeing the existence of equivariant harmonic maps in building-like spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01892 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The real spectrum compactification of character varieties Burger, Marc Iozzi, Alessandra Parreau, Anne Pozzetti, Maria Beatrice Group Theory Algebraic Geometry Differential Geometry Geometric Topology We study the real spectrum compactification of character varieties of finitely generated groups in semisimple Lie groups. This provides a compactification with good topological properties, and we interpret the boundary points in terms of actions on building-like spaces. Among the applications we give a general framework guaranteeing the existence of equivariant harmonic maps in building-like spaces. |
| title | The real spectrum compactification of character varieties |
| topic | Group Theory Algebraic Geometry Differential Geometry Geometric Topology |
| url | https://arxiv.org/abs/2311.01892 |