IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-009-2643-1_6.html
   My bibliography  Save this book chapter

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

In: Deformations of Mathematical Structures

Author

Listed:
  • Grzegorz Andrzejczak

    (Polish Academy of Sciences, Institute of Mathematics)

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]).

Suggested Citation

  • Grzegorz Andrzejczak, 1989. "Characteristic Homomorphism for Transversely Holomorphic Foliations Via the Cauchy-Riemann Equations," Springer Books, in: Julian Ławrynowicz (ed.), Deformations of Mathematical Structures, pages 55-63, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2643-1_6
    DOI: 10.1007/978-94-009-2643-1_6
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-94-009-2643-1_6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.