# Intersecting psi-classes on tropical Hassett spaces

@article{Hahn2021IntersectingPO, title={Intersecting psi-classes on tropical Hassett spaces}, author={Marvin Anas Hahn and Shiyue Li}, journal={Combinatorial Theory}, year={2021} }

. We study the intersection of tropical ψ -classes on tropical heavy/light Hassett spaces, generalising a result of Kerber–Markwig for M trop0 ,n . Our computation reveals that the weight of a maximal cone in an intersection has a combinatorial intepretation in terms of the underlying tropical curve and it is always nonnegative. In particular, our result specialises to that, in top dimension, the tropical intersection product coincides with its classical counterpart.

## References

SHOWING 1-10 OF 34 REFERENCES

### Intersecting Psi-classes on tropical M_{0,n}

- Mathematics
- 2007

We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical curves. We show that…

### The diagonal of tropical matroid varieties and cycle intersections

- Mathematics
- 2013

We define an intersection product of tropical cycles on matroid varieties (via cutting out the diagonal) and show that it is well-behaved. In particular, this enables us to intersect cycles on moduli…

### Compactifications of subvarieties of tori

- Mathematics
- 2004

We study compactifications of subvarieties of algebraic tori defined by imposing a sufficiently fine polyhedral structure on their non-archimedean amoebas. These compactifications have many nice…

### Intersections on tropical moduli spaces

- Mathematics
- 2008

This article explores to which extent the algebro-geometric theory of rational descendant Gromov-Witten invariants can be carried over to the tropical world. Despite the fact that the tropical…

### Chow rings of heavy/light Hassett spaces via tropical geometry

- MathematicsJ. Comb. Theory, Ser. A
- 2021

### First steps in tropical intersection theory

- Mathematics
- 2010

We establish first parts of a tropical intersection theory. Namely, we define cycles, Cartier divisors and intersection products between these two (without passing to rational equivalence) and…

### Wonderful compactifications and rational curves with cyclic action

- Mathematics
- 2022

. We prove that the moduli space of rational curves with cyclic action, constructed in our previous work, is realizable as a wonderful compactiﬁcation of the complement of a hyperplane arrangement in…

### Moduli spaces of rational tropical curves

- Mathematics
- 2007

This note is devoted to the definition of moduli spaces of rational tropical curves with n marked points. We show that this space has a structure of a smooth tropical variety of dimension n-3. We…

### Tropical intersection theory from toric varieties

- Mathematics
- 2009

We apply ideas from intersection theory on toric varieties to tropical intersection theory. We introduce mixed Minkowski weights on toric varieties which interpolate between equivariant and ordinary…

### MODULI SPACES OF RATIONAL WEIGHTED STABLE CURVES AND TROPICAL GEOMETRY

- MathematicsForum of Mathematics, Sigma
- 2016

We study moduli spaces of rational weighted stable tropical curves, and their connections with Hassett spaces. Given a vector $w$ of weights, the moduli space of tropical $w$ -stable curves can be…