Degenerate Cohomological Hall algebra and quantized Donaldson-Thomas invariants for m-loop quivers
Markus Reineke
TL;DR
This paper introduces a combinatorial approach to compute quantized Donaldson-Thomas invariants for m-loop quivers, utilizing noncommutative Hilbert schemes and a degenerate Cohomological Hall algebra.
Contribution
It presents a novel combinatorial formula for these invariants based on a degenerate Cohomological Hall algebra and noncommutative Hilbert schemes.
Findings
Derived a combinatorial formula for invariants
Connected degenerate Cohomological Hall algebra to invariants
Utilized noncommutative Hilbert schemes in the computation
Abstract
We derive a combinatorial formula for quantized Donaldson-Thomas invariants of the m-loop quiver. Our main tools are the combinatorics of noncommutative Hilbert schemes and a degenerate version of the Cohomological Hall algebra of this quiver.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics