Motives of Nullcones of Quiver Representations
Lydia G\"osmann, Markus Reineke
TL;DR
This paper presents two formulas for calculating the motives of nullcones in quiver representations, one explicit and one based on wall-crossing phenomena, advancing understanding in algebraic geometry and representation theory.
Contribution
It introduces two novel formulas for motives of nullcones in quiver representations, including an explicit formula and a wall-crossing type formula.
Findings
Derived explicit formula for nullcone motives
Developed wall-crossing type formula for nullcone motives
Enhanced computational tools for quiver representation geometry
Abstract
We derive two formulas for motives of nullcones of quiver representations, one being explicit, the other being of wall-crossing type.
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