Skip to main content
SpringerLink
Log in

On the commutativity of localized Chern characters with refined Gysin homomorphisms

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract.

We give a simple proof of the fact that the localized Chern characters of Baum, Fulton and MacPherson commute with the refined Gysin homomorphisms of [3]. This has been proved in [3] in the context of bivariant intersection theory using the technique of deformation to the normal cone. Our proof is more elementary in the sense that it avoids such a deformation and relies on a commutativity formula of these Chern characters with effective Cartier divisors. From this formula we also derive easily that the localized Chern characters pass to rational equivalence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, , , , , , DE

    N. Ring

Authors
  1. N. Ring
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 22.12.1997 (Eine revidierte Fassung ging am 3.8.1998 ein.)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ring, N. On the commutativity of localized Chern characters with refined Gysin homomorphisms. Arch. Math. 73, 208–215 (1999). https://doi.org/10.1007/s000130050030

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000130050030

Keywords

Search

Navigation