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).
