# Motivic Bivariant Characteristic Classes

@article{Schuermann2010MotivicBC,
title={Motivic Bivariant Characteristic Classes},
author={Joerg Schuermann and Shoji Yokura},
journal={arXiv: Algebraic Geometry},
year={2010}
}
• Published 7 May 2010
• Mathematics
• arXiv: Algebraic Geometry
7 Citations
Bivariant Versions of Algebraic Cobordism
We define four distinct oriented bivariant theories associated with algebraic cobordism in its two versions (the axiomatic $\Omega$ and the geometric $\omega$), when applied to quasi-projective
Motivic Milnor classes
The Milnor class is a generalization of the Milnor number, defined as the difference (up to sign) of Chern--Schwartz--MacPherson's class and Fulton--Johnson's canonical Chern class of a local
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• Shoji Yokura
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International Journal of Mathematics
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This is a sequel to our previous paper “Oriented bivariant theory, I”. In 2001, Levine and Morel constructed algebraic cobordism for (reduced) schemes [Formula: see text] of finite type over a base
Naive motivic Donaldson-Thomas type Hirzebruch classes and some problems
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• 2014
Donaldson-Thomas invariant is expressed as the weighted Euler characteristic of the so-called Behrend (constructible) function. In (2) Behrend introduced a Donaldson-Thomas type invariant for a mor-
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• Mathematics
• 2019
The purpose of this paper is to study an extended version of bivariant derived algebraic cobordism where the cycles carry a vector bundle on the source as additional data. We show that, over a field
Cobordism bicycles of vector bundles.
The main ingredient of the algebraic cobordism of M. Levine and F. Morel is a cobordism cycle of the form $(M \xrightarrow {h} X; L_1, \cdots, L_r)$ with a proper map $h$ from a smooth variety $M$

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