Background: G. Tian and S. Kwon
recently defined a real Gromov-Witten invariant on each
chamber in the real Chow cycles' parameter space when the target space
is
. That is a real enumerative invariant, counting the number
of
intersection points of pull back of real Chow cycles in the real part of
the Kontsevich's moduli space of stable maps from genus 0 curves.
To use Mikhalkin's work on counting plane rational nodal curves, we showed
that the classical nodal Severi variety is embedded as a Zariski open
dense
subset in the Kontsevich's moduli space.
Question: It will be interesting to develop techniques to calculate real Gromov-Witten invariants by using tropical geometry.
(contributed by Seongchun Kwon)
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