Degenerate cohomological Hall algebra and quantized Donaldson-Thomas invariants for $m$-loop quivers.
Documenta mathematica, Tome 17 (2012), pp. 1-22
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.
Classification :
05E05, 14N35, 16G20
Mots-clés : quantized Donaldson-Thomas invariant, cohomological Hall algebra, noncommutative Hilbert scheme
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/}
}
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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