Vance Blankers

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20172025

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4 papers · 1 filter

math.AG2025

Moduli Theory of the $r$ -Braid Arrangement

Vance Blankers, Emily Clader, Iva Halacheva +2

We describe a family of hyperplane arrangements depending on a positive integer parameter $r$ , which we refer to as the $r$ -braid arrangements, and which can be viewed as a general…

math.AG2019

Wall-crossings for Hassett descendant potentials

Vance Blankers, Renzo Cavalieri

This paper solves the combinatorics relating the intersection theory of $ψ$ -classes of Hassett spaces to that of $M_{g, n}$ . A generating function for intersect…

math.AG2018

Witten's conjecture and recursions for $κ$ classes

Vance Blankers, Renzo Cavalieri

We construct a countable number of differential operators $L^_{n}$ that annihilate a generating function for intersection numbers of $κ$ classes on $\Moduli_g$ (the $κ$ -potentia…

math.AG2017

Intersections of $ω$ classes in $M_{g, n}$

Vance Blankers, Renzo Cavalieri

We provide a graph formula which describes an arbitrary monomial in ω classes (also referred to as stable ψ classes) in terms of a simple family of dual graphs (pinwheel graphs) wi…

Moduli Theory of the r-Braid Arrangement

Wall-crossings for Hassett descendant potentials

Witten's conjecture and recursions for κ classes

Intersections of ω classes in Mg,n​

Moduli Theory of the $r$ -Braid Arrangement

Witten's conjecture and recursions for $κ$ classes

Intersections of $ω$ classes in $M_{g, n}$