Twisted genera of symmetric products

DOI10.1007/s00029-011-0072-0zbMath1245.55009arXiv0906.1264OpenAlexW2150101252MaRDI QIDQ411320

Jörg Schürmann, Laurenţiu Maxim

Publication date: 4 April 2012

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1264

zbMATH Keywords

Adams operationgenusgenerating seriessymmetric productHodge numberssymmetric monoidal categoryexterior productlambda ring

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) (J)-homomorphism, Adams operations (19L20) Symmetric products and cyclic products in algebraic topology (55S15)

Related Items

Intersection cohomology of moduli spaces of sheaves on surfaces, Characteristic classes of symmetric products of complex quasi-projective varieties, Equivariant Hodge-Deligne polynomials of symmetric products of algebraic groups, Equivariant characteristic classes of external and symmetric products of varieties, Characteristic classes of proalgebraic varieties and motivic measures, Plethysm and cohomology representations of external and symmetric products, Symmetric products of mixed Hodge modules, Zeta functions, Grothendieck groups, and the Witt ring, Equivariant Characteristic Classes of Singular Complex Algebraic Varieties, ``Counting spaces and related topics, Characteristic classes and Hilbert-Poincaré series for perverse sheaves on abelian varieties, Discriminants in the Grothendieck ring

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