Connected sum at infinity and 4-manifolds

Autor:	Calcut, Jack S., Haggerty, Patrick V.
Rok vydání:	2013
Předmět:	Mathematics - Algebraic Topology Mathematics - Geometric Topology 57R19 55P57
Zdroj:	Algebr. Geom. Topol. 14 (2014) 3281-3303
Druh dokumentu:	Working Paper
DOI:	10.2140/agt.2014.14.3281
Popis:	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. Comment: 17 pages, 12 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1304.8097 Zobrazit plný text záznamu View this record from Arxiv