Complements of tori in $\#_{2k}S^2 \times S^2$ that admit a hyperbolic structure

Hemanth Saratchandran

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arXiv · 1504.06703

Complements of tori in $\#_{2k}S^2 \times S^2$ that admit a hyperbolic structure

Hemanth Saratchandran

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Abstract

We construct examples of codimension two hyperbolic link complements in closed smooth 4-manifolds with homeomorphism type $\#_{2k}S^2 \times S^2$. All our examples are based on a construction of J. Ratcliffe and S. Tschantz, who constructed 1171 non-compact finite volume hyperbolic 4-manifolds of minimal volume. We then give necessary conditions for a closed smooth simply connected 4-manifold to contain a codimension two link complement that admits a hyperbolic structure.

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BibTeX RIS

Hemanth Saratchandran. 2015-04-25. Complements of tori in $\#_{2k}S^2 \times S^2$ that admit a hyperbolic structure. https://arxiv.org/abs/1504.06703

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