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arXiv · 1304.8097

Connected sum at infinity and 4-manifolds

Jack S. Calcut·Patrick V. Haggerty
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Abstract

We study connected sum at infinity on smooth, open manifolds. This operation requires a choice of proper ray in each manifold summand. In favorable circumstances, the connected sum at infinity operation is independent of ray choices. For each m at least 3, we construct an infinite family of pairs of m-manifolds on which the connected sum at infinity operation yields distinct manifolds for certain ray choices. We use cohomology algebras at infinity to distinguish these manifolds.

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Jack S. Calcut, Patrick V. Haggerty. 2013-04-30. Connected sum at infinity and 4-manifolds. https://doi.org/10.2140/agt.2014.14.3281

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