Small exotic 4-manifolds

Anar Akhmedov

doi:10.2140/agt.2008.8.1781

Small exotic 4-manifolds

Anar Akhmedov

Mathematics

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

16 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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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.",

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KW - Fiber sum

KW - Seiberg -Witten invariants

KW - Symplectic 4-manifolds

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Small exotic 4-manifolds

Abstract

Keywords

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