Journal of Singularities
volume 10 (2014), 26-53
Received 21 January 2013. Received in revised form 26 November 2013.
Donaldson-Thomas invariant is expressed as the weighted Euler characteristic of the so-called Behrend (constructible) function. In 2009, Behrend introduced a Donaldson-Thomas 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 Donaldson-Thomas type invariant for a morphism from a bivariant-theoretic viewpoint, and we finally pose some related questions for further investigations.
|Vittoria Bussi||Shoji Yokura|
|The Mathematical Institute||Dept. of Mathematics and Computer Science|
|24-29 St. Giles||Faculty of Science|
|Oxford, OX1 3LB, U.K.||Kagoshima University|
|21-35 Korimoto 1-chome|
|Kagoshima 890-0065, Japan|
|email: email@example.com||email: firstname.lastname@example.org|