Planar tropical gravitational descendants with one tangency condition

TL;DR

This paper introduces a recursive formula for computing planar tropical gravitational descendants involving psi-classes at marked ends fixed by points and lines, expanding the scope beyond previous work limited to point-fixed ends.

Contribution

It provides a new recursive formula for planar tropical gravitational descendants with mixed point and line fixed ends, including psi-classes of arbitrary powers.

Findings

Derived a recursive computation formula for these descendants.

Extended the scope of tropical gravitational descendant calculations.

Facilitated calculations involving line-fixed marked ends.

Abstract

We prove a formula which allows us to recursively compute planar tropical gravitational descendants which involve psi-classes of arbitrary power at marked ends fixed by points and additionally a psi-class of power one at exactly one marked end fixed by a line. Up to now almost exclusively tropical gravitational descendants with psi-classes at marked ends restricted by points had been considered.