Séminaire Lotharingien de Combinatoire, 89B.57 (2023), 12 pp.

Markus Reineke, Brendon Rhoades and Vasu Tewari

Divisors, Orbit Harmonics, and DT Invariants

Abstract. We give a combinatorial interpretation to Donaldson-Thomas invariants of symmetric quivers by using the method of orbit harmonics. Along the way we connect Young subgroup actions on break divisors of graphs, quotients of the polynomial ring modulo power ideals of Postnikov-Ardila, and a construction of Efimov in the context of Cohomological Hall algebras.


Received: November 15, 2022. Accepted: February 20, 2023. Final version: April 1, 2023.

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