Characteristic Homomorphism for Transversely Holomorphic Foliations Via the Cauchy-Riemann Equations

Grzegorz Andrzejczak
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Grzegorz Andrzejczak: Polish Academy of Sciences, Institute of Mathematics

A chapter in Deformations of Mathematical Structures, 1989, pp 55-63 from Springer

Abstract: Abstract In our earlier paper [1], we have presented a detailed exposition of the Bott characteristic homomorphism for transversely holomorphic foliations. The original Bott construction [4] arises from a comparison between two sets of connections in the normal bundle. Our intention is to give an alternative construction which is slightly more intrinsic and comes from integrating cocycles associated with the normal bundle. The existence of such cocycles allows us to modify the construction of [6] in order to make it applicable to transversely holomorphic foliations (and even to a wide class of foliations with an integrable transverse G-structure [2]).

Keywords: Normal Bundle; Holomorphic Foliation; Partial Connection; Weil Algebra; Complex Codimension (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2643-1_6

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DOI: 10.1007/978-94-009-2643-1_6

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