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

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Deformations of Mathematical Structures
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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]).

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References

  1. ANDRZEJCZAK, G.: ‘Transversely holomorphic foliations and characteristic classes’, Proceedings of the Second Finnish-Polish Summer School in Complex Analysis at Jyva̎-skyla̎, pp. 5–14. Univ. of Jyva̎-skyla̎, Rep. 28, 1984.

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© 1989 Kluwer Academic Publishers

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Andrzejczak, G. (1989). Characteristic Homomorphism for Transversely Holomorphic Foliations Via the Cauchy-Riemann Equations. In: Ławrynowicz, J. (eds) Deformations of Mathematical Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2643-1_6

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  • DOI: https://doi.org/10.1007/978-94-009-2643-1_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7693-7

  • Online ISBN: 978-94-009-2643-1

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