  Via Andersen-Borot-Orantin's geometric recursion, a twist of the topological
recursion was proposed, and a recursion for the Masur-Veech polynomials was
uncovered. The purpose of this article is to explore generalizations of
Mirzakhani's recursion based on physical two-dimensional gravity models related
to the Jackiw-Teitelboim gravity and to provide an introduction to various
realizations of topological recursion. For generalized Mirzakhani's recursions
involving a Masur-Veech type twist, we derive Virasoro constraints and
cut-and-join equations, and also show some computations of generalized volumes
for the physical two-dimensional gravity models.
