ORIENTED BIVARIANT THEORIES, I

DOI10.1142/S0129167X09005777zbMath1195.55006arXiv0811.2261MaRDI QIDQ3648310

Shoji Yokura

Publication date: 25 November 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2261

zbMATH Keywords

\(K\)-theoryChern classescobordismGrothendieck-Riemann-RochFulton-MacPherson bivariant theory

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other homology theories in algebraic topology (55N35) (Co)homology theory in algebraic geometry (14F99) (K)-theory in geometry (19E99)

Related Items (12)

Characteristic Classes ⋮ Algebraic Spivak's theorem and applications ⋮ Chern classes in precobordism theories ⋮ Riemann-Roch formulas for universal bivariant theories ⋮ Motivic bivariant characteristic classes ⋮ Topics of motivic characteristic classes ⋮ Enriched categories of correspondences and characteristic classes of singular varieties ⋮ Bivariant theories in motivic stable homotopy ⋮ Oriented bivariant theory, II: Algebraic cobordism of S-schemes ⋮ Base independent algebraic cobordism ⋮ Precobordism and cobordism ⋮ Bivariant derived algebraic cobordism

Cites Work

• Unnamed Item
• Hirzebruch classes and motivic Chern classes.
• Riemann-Roch and topological K-theory for singular varieties
• Riemann-Roch for singular varieties
• Elementary proofs of some results of cobordism theory using Steenrod operations
• Cobordisme algébrique I
• Cobordisme algébrique II
• The universal Euler characteristic for varieties of characteristic zero

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