Quasisymmetric functions and the Chow ring of the stack of expanded pairs

  • Jakob OesinghausEmail author


We show that the Hopf algebra of quasisymmetric functions arises naturally as the integral Chow ring of the algebraic stack of expanded pairs originally described by J. Li, using a more combinatorial description in terms of configurations of line bundles. In particular, we exhibit a gluing map which gives rise to the comultiplication. We then apply the result to calculate the Chow rings of certain stacks of semistable curves.


Chow groups and rings Algebraic stacks Moduli problems Quasisymmetric functions 

Mathematics Subject Classification

Primary 14C15 14A20 16W30 Secondary 05E05 14C17 


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Copyright information

© SpringerNature 2018

Authors and Affiliations

  1. 1.Institut für MathematikUniversität ZürichZurichSwitzerland

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