Moduli spaces of rational tropical curves

Grigory Mikhalkin

Moduli spaces of rational tropical curves

Algebraic Geometry 2007-05-23 v1 Combinatorics Geometric Topology Symplectic Geometry

Authors: Grigory Mikhalkin

Abstract

This note is devoted to the definition of moduli spaces of rational tropical curves with n marked points. We show that this space has a structure of a smooth tropical variety of dimension n-3. We define the Deligne-Mumford compactification of this space and tropical $\psi$ -class divisors.

Keywords

moduli spaces rational tropical curves tropical variety Deligne-Mumford compactification tropical psi-class marked points

Cite

@article{arxiv.0704.0839,
  title  = {Moduli spaces of rational tropical curves},
  author = {Grigory Mikhalkin},
  journal= {arXiv preprint arXiv:0704.0839},
  year   = {2007}
}

Comments

For the Proceedings of the Gokova Geometry/Topology Conference

Related papers

View all related →