Geometry & Topology
- Geom. Topol.
- Volume 19, Number 5 (2015), 2535-2555.
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 –equivariant motives, for which we prove a dimensional reduction result similar to that of Behrend, Bryan and Szendrői in their study of degree-zero motivic Donaldson–Thomas invariants. Our result differs from theirs in that it involves nontrivial monodromy.
Geom. Topol., Volume 19, Number 5 (2015), 2535-2555.
Received: 30 January 2013
Revised: 26 August 2014
Accepted: 30 September 2014
First available in Project Euclid: 16 November 2017
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Davison, Ben; Meinhardt, Sven. Motivic Donaldson–Thomas invariants for the one-loop quiver with potential. Geom. Topol. 19 (2015), no. 5, 2535--2555. doi:10.2140/gt.2015.19.2535. https://projecteuclid.org/euclid.gt/1510858844