Generalised connected sums of quaternionic manifolds

Yat Sun Poon; Andrew Swann

doi:10.1007/BF00774570

Generalised connected sums of quaternionic manifolds

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

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Abstract

Using deformations of singular twistor spaces, a generalisation of the connected sum construction appropriate for quaternionic manifolds is introduced. This is used to construct examples of quaternionic manifolds which have no quaternionic symmetries and leads to examples of quaternionic manifolds whose twistor spaces have arbitrary algebraic dimension.

Originalsprog	Engelsk
Tidsskrift	Annals of Global Analysis and Geometry
Vol/bind	13
Nummer	1
Sider (fra-til)	79-90
Antal sider	12
ISSN	0232-704X
DOI	https://doi.org/10.1007/BF00774570
Status	Udgivet - 1 feb. 1995
Udgivet eksternt	Ja

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Citationsformater

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keywords = "algebraic dimension, deformation theory, MSC 1991: Primary 53C15, Secondary 53C56, 32L25, 32G99, 14J50, Quaternionic manifold, twistor space",

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KW - deformation theory

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KW - twistor space

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Generalised connected sums of quaternionic manifolds

Abstract

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