A Short History of Open Manifolds Related to Complex Analytic Coordinates

Dennis Sullivan

doi:10.1007/978-3-031-81414-3_3

A Short History of Open Manifolds Related to Complex Analytic Coordinates

Dennis Sullivan

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this note we give the major steps that show that an open connected oriented four manifold has local holomorphic projective coordinates compatible with a holomorphic foliation obtained by a holomorphic local isomorphism to the complex projective plane minus a point foliated by complex lines through that point. The work of Valentin Poénaru is put in context.

Original language	English
Title of host publication	Essays on Topology
Subtitle of host publication	Dedicated to Valentin Poénaru
Publisher	Springer Science+Business Media
Pages	33-34
Number of pages	2
ISBN (Electronic)	9783031814143
ISBN (Print)	9783031814136
DOIs	https://doi.org/10.1007/978-3-031-81414-3_3
State	Published - Jan 1 2025

Keywords

4-manifold
Complex structure
Immersion

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10.1007/978-3-031-81414-3_3

Cite this

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KW - Complex structure

KW - Immersion

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A Short History of Open Manifolds Related to Complex Analytic Coordinates

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Keywords

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