Bivariant theories of constructible functions and Grothendieck transformations

DOI10.1016/S0166-8641(01)00197-3zbMath1045.55003OpenAlexW1969786830MaRDI QIDQ697613

Shoji Yokura

Publication date: 17 September 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00197-3

zbMATH Keywords

constructible functionsChern-Schwartz-MacPherson classbivariant theoriesGrothendieck transformation

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic classes and numbers in differential topology (57R20) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Other homology theories in algebraic topology (55N35) (Co)homology theory in algebraic geometry (14F99)

Related Items

On Ginzburg’s bivariant Chern classes ⋮ On the uniqueness of bivariant Chern class and bivariant Riemann--Roch transformations ⋮ Riemann-Roch formulas for universal bivariant theories ⋮ Bivariant Chern classes for morphisms with nonsingular target varieties ⋮ On Grothendieck transformations in Fulton-MacPherson's bivariant theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extension of Deligne-Grothendieck-MacPherson's theory \(C_ *\) of Chern classes for singular algebraic varieties
• Chern classes for singular algebraic varieties
• Product formula for twisted MacPherson classes
• Categorical framework for the study of singular spaces