|
In this talk, we study the tropical intersection theory of Hassett spaces in genus 0.
Hassett spaces are alternative compactifications of the moduli space of curves with n
marked points induced by a vector of rational numbers. These spaces have a natural
combinatorial analogue in tropical geometry, called tropical Hassett spaces, provided
by the Bergman fan of a matroid which parametrizes certain n marked graphs. We
introduce a notion of Psi-classes on these tropical Hassett spaces and determine their
intersection behavior. In particular, we show that for a large family of rational
vectors - namely the so-called heavy/light vectors - the intersection products of
Psi-classes of the associated tropical Hassett spaces agree with their
algebra-geometric analogue. This talk is based on a joint work with Shiyue Li.
|