Connected sum at infinity and 4-manifolds
Algebraic Topology
2015-05-27 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1304.8097,
title = {Connected sum at infinity and 4-manifolds},
author = {Jack S. Calcut and Patrick V. Haggerty},
journal= {arXiv preprint arXiv:1304.8097},
year = {2015}
}
Comments
17 pages, 12 figures