Small exotic 4-manifolds

Anar Akhmedov

doi:10.2140/agt.2008.8.1781

Small exotic 4-manifolds

Anar Akhmedov

School of Mathematics

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

17 Scopus citations

Abstract

In this article, we construct the first example of a simply connected minimal symplectic 4 -manifold that is homeomorphic but not diffeomorphic to 3 CP² #7CP². We also construct the first exotic minimal symplectic CP²#5CP².

Original language	English (US)
Pages (from-to)	1781-1794
Number of pages	14
Journal	Algebraic and Geometric Topology
Volume	8
Issue number	3
DOIs	https://doi.org/10.2140/agt.2008.8.1781
State	Published - 2008

Keywords

4-manifolds
Exotic smooth structures
Fiber sum
Seiberg -Witten invariants
Symplectic 4-manifolds

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10.2140/agt.2008.8.1781

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title = "Small exotic 4-manifolds",

abstract = "In this article, we construct the first example of a simply connected minimal symplectic 4 -manifold that is homeomorphic but not diffeomorphic to 3 CP2 \#7CP2. We also construct the first exotic minimal symplectic CP2\#5CP2.",

keywords = "4-manifolds, Exotic smooth structures, Fiber sum, Seiberg -Witten invariants, Symplectic 4-manifolds",

author = "Anar Akhmedov",

year = "2008",

doi = "10.2140/agt.2008.8.1781",

language = "English (US)",

volume = "8",

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journal = "Algebraic and Geometric Topology",

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T1 - Small exotic 4-manifolds

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AB - In this article, we construct the first example of a simply connected minimal symplectic 4 -manifold that is homeomorphic but not diffeomorphic to 3 CP2 #7CP2. We also construct the first exotic minimal symplectic CP2#5CP2.

KW - 4-manifolds

KW - Exotic smooth structures

KW - Fiber sum

KW - Seiberg -Witten invariants

KW - Symplectic 4-manifolds

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UR - https://www.scopus.com/pages/publications/72949083522#tab=citedBy

U2 - 10.2140/agt.2008.8.1781

DO - 10.2140/agt.2008.8.1781

M3 - Article

AN - SCOPUS:72949083522

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EP - 1794

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 3

ER -

Small exotic 4-manifolds

Abstract

Keywords

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