Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 16 (2020), 096, 22 pages      arXiv:1911.03288      https://doi.org/10.3842/SIGMA.2020.096

Torus-Equivariant Chow Rings of Quiver Moduli

Hans Franzen
Fakultät für Mathematik, Ruhr-Universität Bochum, Universitätsstraße 150, 44780 Bochum, Germany

Received March 14, 2020, in final form September 16, 2020; Published online September 30, 2020

Abstract
We compute rational equivariant Chow rings with respect to a torus of quiver moduli spaces. We derive a presentation in terms of generators and relations, use torus localization to identify it as a subring of the Chow ring of the fixed point locus, and we compare the two descriptions.

Key words: torus actions; equivariant Chow rings; torus localization; quiver moduli.

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