The real spectrum compactification of character varieties: characterizations and applications

Marc Burger; Alessandra Iozzi; Anne Parreau; Marie Beatrice Pozzetti

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arXiv · 2005.00120

The real spectrum compactification of character varieties: characterizations and applications

Marc Burger·Alessandra Iozzi·Anne Parreau·Marie Beatrice Pozzetti

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Abstract

We announce results on a compactification of general character varieties that has good topological properties and give various interpretations of its ideal points. We relate this to the Weyl chamber length compactification and apply our results to the theory of maximal and Hitchin representations.

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Marc Burger, Alessandra Iozzi, Anne Parreau, Marie Beatrice Pozzetti. 2020-04-30. The real spectrum compactification of character varieties: characterizations and applications. https://arxiv.org/abs/2005.00120

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