Connected sum at infinity and 4-manifolds

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≥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.

Publisher

Mathematical Sciences Publishers

Publication Date

1-1-2014

Publication Title

Algebraic & Geometric Topology

Department

Mathematics

Document Type

Article

DOI

https://dx.doi.org/10.2140/agt.2014.14.3281

Keywords

Connected sum at infinity, End sum, Ladder manifold, Cohomology algebra at infinity, Proper homotopy, Direct limit, Stringer sum, Lens space

Language

English

Format

text

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