Degenerate cohomological Hall algebra and quantized Donaldson-Thomas invariants for $m$-loop quivers.
Documenta mathematica, Tome 17 (2012), pp. 1-22
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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.
DOI : 10.4171/dm/359
Classification : 05E05, 14N35, 16G20
Mots-clés : quantized Donaldson-Thomas invariant, cohomological Hall algebra, noncommutative Hilbert scheme
@article{10_4171_dm_359,
     author = {Markus Reineke},
     title = {Degenerate cohomological {Hall} algebra and quantized {Donaldson-Thomas} invariants for $m$-loop quivers.},
     journal = {Documenta mathematica},
     pages = {1--22},
     year = {2012},
     volume = {17},
     doi = {10.4171/dm/359},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/359/}
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Markus Reineke. Degenerate cohomological Hall algebra and quantized Donaldson-Thomas invariants for $m$-loop quivers.. Documenta mathematica, Tome 17 (2012), pp. 1-22. doi: 10.4171/dm/359

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