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arXiv · 1206.5864

Motivic Classes of Commuting Varieties via Power Structures

Jim Bryan·Andrew Morrison
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Abstract

We prove a formula, originally due to Feit and Fine, for the class of the commuting variety in the Grothendieck group of varieties. Our method, which uses a power structure on the Grothendieck group of stacks, allows us to prove several refinements and generalizations of the Feit-Fine formula. Our main application is to motivic Donaldson-Thomas theory.

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Jim Bryan, Andrew Morrison. 2012-06-26. Motivic Classes of Commuting Varieties via Power Structures. https://arxiv.org/abs/1206.5864

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