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International Mathematics Research Notices Advance Access originally published online on December 30, 2008
International Mathematics Research Notices (2009) 2009:221-240, doi:10.1093/imrn/rnn130 published on January 23, 2009
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org.

Intersecting Psi-classes on Tropical Formula

Michael Kerber1 and Hannah Markwig2

1 Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany
2 Institute for Mathematics and its Applications, University of Minnesota, Lind Hall 400, 207 Church Street SE, Minneapolis, MN 55455, USA

Correspondence: Correspondence to be sent to: markwig{at}unich.edu

We apply the tropical intersection theory as suggested by G. Mikhalkin and developed in detail by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical curves. We show that in the case of zero-dimensional (stable) intersections, the resulting numbers agree with the intersection numbers of Psi-classes on the moduli space of n-marked rational curves computed in algebraic geometry.


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