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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10.1016/j.topol.2006.11.004

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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.",

keywords = "4-manifolds, Elliptic fibration, Exotic smooth structures, Seiberg-Witten invariants",

author = "Anar Akhmedov",

year = "2007",

month = mar,

day = "15",

doi = "10.1016/j.topol.2006.11.004",

language = "English (US)",

volume = "154",

pages = "1134--1140",

journal = "Topology and its Applications",

issn = "0166-8641",

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TY - JOUR

T1 - Construction of exotic smooth structures

AU - Akhmedov, Anar

PY - 2007/3/15

Y1 - 2007/3/15

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/33846815483

UR - https://www.scopus.com/pages/publications/33846815483#tab=citedBy

U2 - 10.1016/j.topol.2006.11.004

DO - 10.1016/j.topol.2006.11.004

M3 - Article

AN - SCOPUS:33846815483

SN - 0166-8641

VL - 154

SP - 1134

EP - 1140

JO - Topology and its Applications

JF - Topology and its Applications

IS - 6

ER -

Construction of exotic smooth structures

Abstract

Keywords

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