Publication: On the pre-lambda-ring structure on the Grothendieck ring of stacks and the power structures over it
Loading...
Full text at PDC
Publication Date
2013-06
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge Univ. Press
Abstract
We describe a pre-lambda-structure on the Grothendieck ring of stacks (originally studied by Torsten Ekedahl) and the corresponding power structures over it, discuss some of their properties and give some explicit formulae for the Kapranov zeta-function for some stacks. In particular, we show that the nth symmetric power of the class of the classifying stack BGL(1) of the group GL(1) coincides, up to a power of the class L of the affine line, with the class of the classifying stack BGL(n).