## Rocky Mountain Journal of Mathematics

- Rocky Mountain J. Math.
- Volume 49, Number 7 (2019), 2297-2324.

### Psi-class intersections on Hassett spaces for genus 0 with all weights $\frac {1}{2}$

#### Abstract

Hassett spaces are moduli spaces of weighted stable pointed curves. We consider such spaces of curves of genus $0$ with weights all $\frac {1}{2}$. These spaces are interesting, since they are isomorphic to $\overline{M}_{0,n}$ but have different universal families and different intersection theory. We develop a closed formula for intersections of $\psi $-classes on such spaces. In our main result, we encode the formula for top intersections in a generating function obtained by applying a differential operator to the Witten potential.

#### Article information

**Source**

Rocky Mountain J. Math., Volume 49, Number 7 (2019), 2297-2324.

**Dates**

First available in Project Euclid: 8 December 2019

**Permanent link to this document**

https://projecteuclid.org/euclid.rmjm/1575774139

**Digital Object Identifier**

doi:10.1216/RMJ-2019-49-7-2297

**Mathematical Reviews number (MathSciNet)**

MR4039971

**Subjects**

Primary: 14Q99: None of the above, but in this section

**Keywords**

$\psi $ classes Hassett spaces

#### Citation

Sharma, Nand. Psi-class intersections on Hassett spaces for genus 0 with all weights $\frac {1}{2}$. Rocky Mountain J. Math. 49 (2019), no. 7, 2297--2324. doi:10.1216/RMJ-2019-49-7-2297. https://projecteuclid.org/euclid.rmjm/1575774139