Power structure over the Grothendieck ring of maps

DOI10.1007/s13163-018-0263-8zbMath1423.14061arXiv1609.08452OpenAlexW2964309405MaRDI QIDQ1790936

Alejandro Melle-Hernández, Sabir M. Gusein-Zade, I. Luengo Velasco

Publication date: 4 October 2018

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08452

zbMATH Keywords

mapsGrothendieck ringcomplex quasi-projective varietiespower structurelambda-structure

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Varieties and morphisms (14A10) Grothendieck groups (category-theoretic aspects) (18F30) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

Motivic classes of generalized Kummer schemes via relative power structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\lambda\)-rings and the representation theory of the symmetric group
• Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points
• Constructible exponential functions, motivic Fourier transform and transfer principle
• On the motive of the Hilbert scheme of points on a surface.
• A power structure over the Grothendieck ring of varieties
• Motivic degree zero Donaldson-Thomas invariants
• On the power structure over the Grothendieck ring of varieties and its applications
• Motivic height zeta functions
• Motivic classes of commuting varieties via power structures
• The class of the affine line is a zero divisor in the Grothendieck ring
• Adams operations and power structures
• Motivic Classes of Nakajima Quiver Varieties
• On the pre-λ-ring structure on the Grothendieck ring of stacks and the power structures over it