no. 4
Virtual pullbacks in K-theory
[Tirés en arrière virtuels en K-théorie]
Qu, Feng1
1 Center for Mathematical Sciences Huazhong University of Science and Technology 1037 Luoyu Road, Wuhan, Hubei Province (China)
Annales de l'Institut Fourier, Tome 68 (2018) no. 4, pp. 1609-1641.

Nous considérons les tirés en arrière virtuels en K-théorie, et montrons qu’ils sont des classes bivariantes et satisfaisant une certaine forme de fonctorialité. En tant qu’applications aux invariants de comptage K-théoriques, nous incluons des preuves d’une formule de localisation virtuelle pour les schémas et une formule de dégénérescence en théorie de Donaldson–Thomas.

We consider virtual pullbacks in K-theory, and show that they are bivariant classes and satisfy certain functoriality. As applications to K-theoretic counting invariants, we include proofs of a virtual localization formula for schemes and a degeneration formula in Donaldson–Thomas theory.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3194
Classification : 14C17, 14A20, 14C35, 14N35
Keywords: virtual pullback, virtual localization, degeneration formula
Mot clés : tiré en arrière virtuel, localisation virtuelle, formule de dégénérescence
Qu, Feng 1

1 Center for Mathematical Sciences Huazhong University of Science and Technology 1037 Luoyu Road, Wuhan, Hubei Province (China) 
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Qu, Feng. Virtual pullbacks in $K$-theory. Annales de l'Institut Fourier, Tome 68 (2018) no. 4, pp. 1609-1641. doi : 10.5802/aif.3194. http://archive.numdam.org/articles/10.5802/aif.3194/

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