Construction of exotic smooth structures

Anar Akhmedov

doi:10.1016/j.topol.2006.11.004

Construction of exotic smooth structures

Anar Akhmedov

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

3 Scopus citations

Abstract

In this article, we construct infinitely many simply connected, nonsymplectic and pairwise nondiffeomorphic 4-manifolds starting from the elliptic surfaces E (n) and applying the sequence of knot surgery, ordinary blowups and rational blowdown. We also compute the Seiberg-Witten invariants of these manifolds.

Original language	English (US)
Pages (from-to)	1134-1140
Number of pages	7
Journal	Topology and its Applications
Volume	154
Issue number	6
DOIs	https://doi.org/10.1016/j.topol.2006.11.004
State	Published - Mar 15 2007
Externally published	Yes

Keywords

4-manifolds
Elliptic fibration
Exotic smooth structures
Seiberg-Witten invariants

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title = "Construction of exotic smooth structures",

abstract = "In this article, we construct infinitely many simply connected, nonsymplectic and pairwise nondiffeomorphic 4-manifolds starting from the elliptic surfaces E (n) and applying the sequence of knot surgery, ordinary blowups and rational blowdown. We also compute the Seiberg-Witten invariants of these manifolds.",

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AB - In this article, we construct infinitely many simply connected, nonsymplectic and pairwise nondiffeomorphic 4-manifolds starting from the elliptic surfaces E (n) and applying the sequence of knot surgery, ordinary blowups and rational blowdown. We also compute the Seiberg-Witten invariants of these manifolds.

KW - 4-manifolds

KW - Elliptic fibration

KW - Exotic smooth structures

KW - Seiberg-Witten invariants

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JO - Topology and its Applications

JF - Topology and its Applications

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Construction of exotic smooth structures

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