Reducible smooth structures on 4-manifolds with zero signature

Anar Akhmedov; Masashi Ishida; B. Doug Park

doi:10.1112/jtopol/jtt043

Reducible smooth structures on 4-manifolds with zero signature

Anar Akhmedov, Masashi Ishida, B. Doug Park

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

For every large enough integer k that is not divisible by 4, we construct infinite families of mutually non-diffeomorphic reducible smooth structures on the topological 4-manifolds 2k(S² × S²) and 2k(ℂℙ²#ℂℙ²), the connected sums of 2k copies of S² × S² and ℂℙ²#ℂℙ ².

本文言語	English
論文番号	jtt043
ページ（範囲）	607-616
ページ数	10
ジャーナル	Journal of Topology
巻	7
号	3
DOI	https://doi.org/10.1112/jtopol/jtt043
出版ステータス	Published - 2014 9月
外部発表	はい

ASJC Scopus subject areas

幾何学とトポロジー

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10.1112/jtopol/jtt043

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abstract = "For every large enough integer k that is not divisible by 4, we construct infinite families of mutually non-diffeomorphic reducible smooth structures on the topological 4-manifolds 2k(S2 × S2) and 2k(ℂℙ2#ℂℙ2), the connected sums of 2k copies of S2 × S2 and ℂℙ2#ℂℙ 2.",

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Reducible smooth structures on 4-manifolds with zero signature

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