Motivic characteristic classes

Abstract

Motivic characteristic classes of possibly singular algebraic varieties are homology class versions of motivic characteristics, not classes in the so-called motivic (co)homology. This paper is a survey on them with more emphasis on capturing infinitude finitely and on the motivic nature, in other words, the scissor relation or additivity.

35 pages; To appear in the Proceedings of MSRI Workshop "Topology of Stratified Spaces" (Sept. 8-12, 2008)

References in corpus (4)

• Algebraic cobordism
• Topology of singular algebraic varieties
• Characteristic classes of mixed Hodge modules
• Twisted genera of symmetric products

Cited by in corpus (3)

• Characteristic classes of mixed Hodge modules
• Naive motivic Donaldson-Thomas type Hirzebruch classes and some problems
• Rationality of motivic Chow series modulo A^1-homotopy