Motivic classes of commuting varieties via power structures

DOI10.1090/S1056-3911-2014-00657-3zbMath1334.13013arXiv1206.5864OpenAlexW2963293684MaRDI QIDQ2939279

Jim Bryan, Andrew Morrison

Publication date: 19 January 2015

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5864

zbMATH Keywords

Grothendieck grouppower structurescommuting varieties

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (7)

Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics ⋮ Counting on the variety of modules over the quantum plane ⋮ Enumeration of commuting pairs in Lie algebras over finite fields ⋮ Mutually annihilating matrices, and a Cohen-Lenstra series for the nodal singularity ⋮ Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex ⋮ Power structure over the Grothendieck ring of maps ⋮ On coherent sheaves of small length on the affine plane

Cites Work

• Unnamed Item
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• Pairs of commuting matrices over a finite field
• Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points
• On the motivic class of the stack of bundles
• On the motive of the Hilbert scheme of points on a surface.
• A power structure over the Grothendieck ring of varieties
• Motivic invariants of quivers via dimensional reduction
• Motivic degree zero Donaldson-Thomas invariants
• Motivic Donaldson-Thomas invariants of small crepant resolutions
• Motivic Donaldson–Thomas invariants and the Kac conjecture
• On the pre-λ-ring structure on the Grothendieck ring of stacks and the power structures over it

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