On Block-Goettsche multiplicities for planar tropical curves

@article{Itenberg2012OnBM,
  title={On Block-Goettsche multiplicities for planar tropical curves},
  author={I. V. Itenberg and Grigory Mikhalkin},
  journal={arXiv: Algebraic Geometry},
  year={2012}
}
We prove invariance for the number of planar tropical curves enhanced with polynomial multiplicities recently proposed by Florian Block and Lothar Goettsche. This invariance has a number of implications in tropical enumerative geometry. 
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