Skip to main content
SpringerLink
Log in

Homological identities for a finite homogeneous graph

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

An application of the Atiyah-Bott trace identity to the study of the spectral characteristics of a finite (q+1)-homogeneous factorgraph Y=Γ/X is given (X is an infinite (q+1)-homogeneous tree, Γ a free group of isometries of X). Bibliography: 9 titles.

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

Similar content being viewed by others

Literature Cited

  1. M. F. Atiyah and R. Bott, “A Lefschetz fixed-point formula for elliptic complexes I,”Ann. Math.,86, 374–407 (1967).

    MathSciNet  Google Scholar 

  2. M. F. Atiyah and R. Bott, “A Lefschetz fixed-point formula for elliptic complexes II,”Ann. Math.,88, 451–491 (1968).

    MathSciNet  Google Scholar 

  3. D. B. Ray and I. M. Singer, “R-Torsion and the Laplacian on Riemannian Manifolds,”Adv. Math.,7, 145–210 (1971).

    Article  MathSciNet  Google Scholar 

  4. D. B. Ray and I. M. Singer, “Analytic torsion for complex manifolds,”Ann. Math.,98, 154–177 (1973).

    MathSciNet  Google Scholar 

  5. J.-P. Serre, “Arbres, amalgames étSL 2,”Asterisque, No. 46 (1977).

  6. H. Bass, “The Ihara-Selberg zeta function of a tree lattice,” Preprint, Dept. of Math. CUNY (1990).

  7. Ki.-I. Hashimoto, “Zeta functions of finite graphs and representations ofp-adic groups,”Adv. Stud. Pure Math.,15, 211–280 (1989).

    MATH  MathSciNet  Google Scholar 

  8. Ki.-I. Hashimoto and A. Hori, “Selberg-Ihara's zeta function forp-adic discrete groups,”Adv. Stud. Pure Math.,15, 171–210 (1989).

    MathSciNet  Google Scholar 

  9. Ki.-I. Hashimoto, “On Zeta andL-functions of finite graphs,”Int. J. Math.,1, 381–396 (1990).

    MATH  MathSciNet  Google Scholar 

Download references

Authors
  1. A. M. Nikitin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 205, 1993, pp. 110–121.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikitin, A.M. Homological identities for a finite homogeneous graph. J Math Sci 80, 1829–1836 (1996). https://doi.org/10.1007/BF02362781

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02362781

Keywords

Search

Navigation