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A small closed convex projective 4-manifold via Dehn filling

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arxiv 1910.11649 v3 pith:W3AJNKVD submitted 2019-10-25 math.GT

Gye-Seon Lee , Ludovic Marquis , Stefano Riolo This is my paper · ORCID
classification math.GT
keywords projectiveconvexcloseddehnfillingfour-manifoldsmallbuild
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In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic four-manifold through a continuous path of projective cone-manifolds.

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  1. Geometric transition from hyperbolic to anti-de Sitter structures in dimension four

    math.GT 2019-08 conditional novelty 8.0 of 10

    The paper constructs explicit C^1 paths of cone-manifold structures on N times S^1 joining hyperbolic, half-pipe, and anti-de Sitter geometries, the first geometric transitions in dimension four.

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