Advertisement

Mathematische Annalen

, Volume 373, Issue 1–2, pp 625–641 | Cite as

The product rule in \(\kappa ^*({\mathcal {M}}_{g,n}^{ct})\)

  • Iman SetayeshEmail author
Article
  • 41 Downloads

Abstract

We describe explicit formulas for the product rule in \(\kappa ^*({\mathcal {M}}_{g,n}^{ct})\).

Notes

Acknowledgements

I would like to thank M. Einollah Zade, M. Saghafian and E. Salavati for their collaboration in the proof of Theorem 22. I am also grateful to E. Eftekhary, F. Janda and R. Pandharipande for helpful comments on an earlier version of this paper. This work was partially done when the author visited the Institute for Mathematical Research (FIM) in Zurich and the result was first presented in a lecture in the Einstein series in Algebraic Geometry at Humboldt University supported by the Einstein Stiftung in Berlin. The author was partially supported by a Grant from IPM (no. 95510026).

References

  1. 1.
    Arbarello, E., Cornalba, M.: Combinatorial and algebro-geometric cohomology classes on the moduli space of curves. J. Algebraic Geom. 5, 705–749 (1996)MathSciNetzbMATHGoogle Scholar
  2. 2.
    Graber, T., Pandharipande, R.: Constructions of nontautological classes on moduli spaces of curves. Mich. Math. J. 51(1), 93–109 (2003)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Keel, S.: Intersection theory of moduli space of stable \(n\)-pointed curves of genus zero. Trans. Am. Math. Soc. 330, 545–574 (1992)MathSciNetzbMATHGoogle Scholar
  4. 4.
    Mumford, D.: Towards an enumerative geometry of the moduli space of curves. Arithmetic and Geometry 1983, pp. 271–328. Birkhäuser, BostonGoogle Scholar
  5. 5.
    Pandharipande, R.: The \(kappa\) ring of the moduli of curves of compact type. Acta Math. 208, 335–388 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    van Lint, J.H., Wilson, R.M.: A Course in Combinatorics. Cambridge University Press, Cambridge (1992)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Mathematical SciencesTarbiat Modares UniversityTehranIran
  2. 2.School of MathematicsInstitute for Research in Fundamental Sciences (IPM)TehranIran

Personalised recommendations