Motivic Donaldson-Thomas invariants for the one-loop quiver with potential

We compute the motivic Donaldson-Thomas invariants of the one-loop quiver, with an arbitrary potential. This is the first computation of motivic Donaldson-Thomas invariants to use in an essential way the full machinery of (mu) over cap -equivariant motives, for which we prove a dimensional reduction result similar to that of Behrend, Bryan and Szendroi in their study of degree- zero motivic Donaldson-Thomas invariants. Our result differs from theirs in that it involves nontrivial monodromy.


Published in:
Geometry & Topology, 19, 5, 2535-2555
Year:
2015
Publisher:
Coventry, Geometry & Topology Publications
ISSN:
1465-3060
Laboratories:




 Record created 2016-02-16, last modified 2018-03-17


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