Motivic Donaldson-Thomas invariants for the one-loop quiver with potential
Motivic Donaldson-Thomas invariants for the one-loop quiver with potential
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DOI：
10.2140/gt.2015.19.2535
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发表时间：
2015-01-01
影响因子：
2
通讯作者：
Meinhardt, Sven
中科院分区：
文献类型：
--
作者：
Davison, Ben;Meinhardt, Sven
我们计算的motivic唐纳森-托马斯不变量的单循环的？？这是第一次计算motivic Donaldson-Thomas不变量，以基本的方式使用（mu）在帽等变动机的完整机器，为此，我们证明了一个降维结果类似于Behrend，Bryan和Szendroi在他们的研究零度motivic Donaldson-Thomas不变量。我们的结果与他们的不同之处在于它涉及非平凡单值性。
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.