Connected sum at infinity and 4-manifolds

Title:
Connected sum at infinity and 4-manifolds
Authors:
Calcut, Jack S.; Haggerty, Patrick V.
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.
Citation:
Calcut, Jack S. and Patrick V. Haggerty. 2014. "Connected sum at infinity and 4-manifolds." Algebraic & Geometric Topology 14: 3281-3303.
Publisher:
Mathematical Sciences Publishers
DATE ISSUED:
2014
Department:
Mathematics
Type:
Article
PUBLISHED VERSION:
10.2140/agt.2014.14.3281
PERMANENT LINK:
http://hdl.handle.net/11282/566898

Full metadata record

DC FieldValue Language
dc.contributor.authorCalcut, Jack S.en
dc.contributor.authorHaggerty, Patrick V.en
dc.date.accessioned2015-08-13T10:36:31Zen
dc.date.available2015-08-13T10:36:31Zen
dc.date.issued2014en
dc.identifier.citationCalcut, Jack S. and Patrick V. Haggerty. 2014. "Connected sum at infinity and 4-manifolds." Algebraic & Geometric Topology 14: 3281-3303.en
dc.identifier.issn1472-2747en
dc.identifier.urihttp://hdl.handle.net/11282/566898en
dc.description.abstractWe 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.en
dc.language.isoen_USen
dc.publisherMathematical Sciences Publishersen
dc.identifier.doi10.2140/agt.2014.14.3281en
dc.subject.departmentMathematicsen
dc.titleConnected sum at infinity and 4-manifoldsen
dc.typeArticleen
dc.identifier.journalAlgebraic & Geometric Topologyen
dc.subject.keywordConnected sum at infinityen
dc.subject.keywordEnd sumen
dc.subject.keywordLadder manifolden
dc.subject.keywordCohomology algebra at infinityen
dc.subject.keywordProper homotopyen
dc.subject.keywordDirect limiten
dc.subject.keywordStringer sumen
dc.subject.keywordLens spaceen
dc.identifier.volume14en
dc.identifier.startpage3281en
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