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Euler characteristic of quiver Grassmannians and Ringel-Hall algebras of string algebras

Nicolas Poettering

Number 48
Author Nicolas Poettering
Project C01
Year 2010

We compute the Euler characteristics of quiver Grassmannians and quiver flag varieties of tree and band modules and prove their positivity. This generalizes some results by G.C. Irelli [arXiv:0910.2592].
As an application we consider the Ringel-Hall algebra C(A) of some string algebras A and compute in combinatorial terms the products of arbitrary functions in C(A).

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