论文标题
循环空间上的模棱两可的滑轮
Equivariant sheaves on loop spaces
论文作者
论文摘要
让$ x $成为售价，平滑和noetherian计划，超过$ \ mathbb {c} $由Aggine代数组$ g $采用的。应用了Arkhipov和Ørsted（2018a，2018b）开发的技术，我们为DG-Modules的派生类别定义了DG模型，而不是差异形式的DG-Algebra $ x $ equivariant上的dg-algebra $ x $ equivariant，以涉及派生的组方案$（g，g，ω__g）的动作。我们将获得的DG类别与Coherent Sheaves在Arkhipov和Kanstrup（2015）中所考虑的DG类别进行了比较，该类别在$ T^* X $的衍生汉密尔顿降低中给出了。
Let $X$ be an affine, smooth, and Noetherian scheme over $\mathbb{C}$ acted on by an affine algebraic group $G$. Applying the technique developed in Arkhipov and Ørsted (2018a, 2018b), we define a dg-model for the derived category of dg-modules over the dg-algebra of differential forms $Ω_X$ on $X$ equivariant with respect to the action of a derived group scheme $(G ,Ω_G )$. We compare the obtained dg-category with the one considered in Arkhipov and Kanstrup (2015) given by coherent sheaves on the derived Hamiltonian reduction of $T^* X$.
