PSI-地板图与Caporaso-Harris型递归
Psi-floor diagrams and a Caporaso-Harris type recursion
摘要：
楼层图是组织满足点条件的热带平面曲线的计数的组合对象。本文介绍了Psi-地板图，它计数不仅满足点条件，而且满足Psi-类（连同点）给出的条件的热带曲线。然后，我们推广我们的定义相对PSI地板图，并证明了Caporaso-Harris型公式相应的号码。这个公式与经典的Caporaso-Harris公式相一致。因此，我们可以得出结论，在我们的情况下，相对后裔Gromov-Witten不变量等于他们的热带同行。
英文摘要：
Floor diagrams are combinatorial objects which organize the count of tropical plane curves satisfying point conditions. In this paper we introduce Psi-floor diagrams which count tropical curves satisfying not only point conditions but also conditions given by Psi-classes (together with points). We then generalize our definition to relative Psi-floor diagrams and prove a Caporaso-Harris type formula for the corresponding numbers. This formula is shown to coincide with the classical Caporaso-Harris formula for relative plane descendant Gromov-Witten invariants. As a consequence, we can conclude that in our case relative descendant Gromov-Witten invariants equal their tropical counterparts.
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