Orbifolds and orbibundles in complex hyperbolic geometry

Hugo Cattarucci Botós

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arXiv · 2011.09372

Orbifolds and orbibundles in complex hyperbolic geometry

Hugo Cattarucci Botós

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Abstract

We develop the theory of orbibundles from a geometrical viewpoint using diffeology. One of our goals is to present new tools allowing to calculate invariants of complex hyperbolic disc orbibundles over $2$-orbifolds appearing in the geometry of $4$-manifolds. These invariants are the Euler number of disc orbibundles and the Toledo invariant of $\mathrm{PU}(2,1)$-representations of $2$-orbifold groups.

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Hugo Cattarucci Botós. 2020-11-18. Orbifolds and orbibundles in complex hyperbolic geometry. https://arxiv.org/abs/2011.09372

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