Vance Blankers

activity

20172019

collaborators

4 papers

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.DS2019

Julia and Mandelbrot sets for dynamics over the hyperbolic numbers

Vance Blankers, Tristan Rendfrey, Aaron Shukert +1

Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of thes…

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…

Wall-crossings for Hassett descendant potentials

Julia and Mandelbrot sets for dynamics over the hyperbolic numbers

Witten's conjecture and recursions for κ classes

Intersections of ω classes in Mg,n​

Witten's conjecture and recursions for $κ$ classes

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