Divisors on complete multigraphs and Donaldson-Thomas invariants of loop
quivers
Divisors on complete multigraphs and Donaldson-Thomas invariants of loop
quivers
We study the action of $S_n$ on the set of break divisors on complete multigraphs $K_{n}^m$. We provide an alternative characterization for these divisors, by virtue of which we show that orbits of this action are enumerated by the numerical Donaldson-Thomas invariants of $(m+1)$-loop quivers. Our characterization also allows us …