A Short History of Open Manifolds Related to Complex Analytic Coordinates

Dennis Sullivan ()
Additional contact information
Dennis Sullivan: Stony Brook, Mathematics Department SUNY

Chapter Chapter 3 in Essays on Topology, 2025, pp 33-34 from Springer

Abstract: 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.

Keywords: Immersion; 4-manifold; Complex structure; 57 R 15; 57 K 40; 57 M 50 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-81414-3_3

Ordering information: This item can be ordered from
http://www.springer.com/9783031814143

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

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().