Exotic smooth structures on ℂℙ25ℂℙ 2

Jongil Park; András I. Stipsicz; Zoltán Szabó

doi:10.4310/MRL.2005.v12.n5.a7

Exotic smooth structures on ℂℙ²5ℂℙ ²

Jongil Park, András I. Stipsicz, Zoltán Szabó

Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Motivated by a construction of Fintushel and Stern, we show that the topological 4-manifold ℂℙ²5ℂℙ² supports infinitely many distinct smooth structures.

Original language	English (US)
Pages (from-to)	701-712
Number of pages	12
Journal	Mathematical Research Letters
Volume	12
Issue number	5-6
DOIs	https://doi.org/10.4310/MRL.2005.v12.n5.a7
State	Published - 2005

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Exotic smooth 4-manifolds
Rational blow-down
Rational surfaces
Seiberg-Witten invariants

Access to Document

10.4310/MRL.2005.v12.n5.a7

Cite this

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title = "Exotic smooth structures on ℂℙ25ℂℙ 2",

abstract = "Motivated by a construction of Fintushel and Stern, we show that the topological 4-manifold ℂℙ25ℂℙ2 supports infinitely many distinct smooth structures.",

keywords = "Exotic smooth 4-manifolds, Rational blow-down, Rational surfaces, Seiberg-Witten invariants",

author = "Jongil Park and Stipsicz, {Andr{\'a}s I.} and Zolt{\'a}n Szab{\'o}",

year = "2005",

doi = "10.4310/MRL.2005.v12.n5.a7",

language = "English (US)",

volume = "12",

pages = "701--712",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "5-6",

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T1 - Exotic smooth structures on ℂℙ25ℂℙ 2

AU - Park, Jongil

AU - Stipsicz, András I.

AU - Szabó, Zoltán

PY - 2005

Y1 - 2005

N2 - Motivated by a construction of Fintushel and Stern, we show that the topological 4-manifold ℂℙ25ℂℙ2 supports infinitely many distinct smooth structures.

AB - Motivated by a construction of Fintushel and Stern, we show that the topological 4-manifold ℂℙ25ℂℙ2 supports infinitely many distinct smooth structures.

KW - Exotic smooth 4-manifolds

KW - Rational blow-down

KW - Rational surfaces

KW - Seiberg-Witten invariants

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U2 - 10.4310/MRL.2005.v12.n5.a7

DO - 10.4310/MRL.2005.v12.n5.a7

M3 - Article

AN - SCOPUS:31544455267

SN - 1073-2780

VL - 12

SP - 701

EP - 712

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 5-6

ER -