Naive motivic Donaldson-Thomas type Hirzebruch classes and some problems
Algebraic Geometry
2015-12-21 v1 Algebraic Topology
Abstract
Donaldson-Thomas invariant is expressed as the weighted Euler characteristic of the so-called Behrend (constructible) function. In \cite{Behrend} Behrend introduced a DT-type invariant for a morphism. Motivated by this invariant, we extend the motivic Hirzebruch class to naive Donaldson-Thomas type analogues. We also discuss a categorification of the DT-type invariant for a morphism from a bivariant-theoretic viewpoint, and we finally pose some related questions for further investigations.
Cite
@article{arxiv.1306.4725,
title = {Naive motivic Donaldson-Thomas type Hirzebruch classes and some problems},
author = {Vittoria Bussi and Shoji Yokura},
journal= {arXiv preprint arXiv:1306.4725},
year = {2015}
}