Intersections of ψ classes on Hassett Spaces for genus 0 with all weights (1)/(2)

2018/01/27 by Nand Lal Sharma, Sharma, Nand
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1801.09013

openalex publication_date 2018/01/27 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28

Abstract

Hassett spaces are moduli spaces of weighted stable pointed curves. In this work, we consider such spaces of curves of genus 0 with weights all (1)/(2). These spaces are interesting as they are isomorphic to M_0,n but have different universal families and different intersection theory. We develop a closed formula for intersections of ψ-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.

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