论文标题
框架的共同体厅代数和共同体学稳定信封
Framed cohomological Hall algebras and cohomological stable envelopes
论文作者
论文摘要
有多种猜想将Quiver $ Q $的某些替代的共生厅代数（Cohas）与Maulik-Okounkov的Yangian $ y^{q} _ {Mo} $替换有关，其构造是基于Nakajima volieSies的稳定概念。在本文中，我们介绍了模量堆栈的共同体学厅代数，该堆积的表示量表$ q $（框架Coha），我们表明，Nakajima品种$ \ Mathcal {m} _Q（\ fort for for for for for for for for for for Nakajima品种的脱节结合的同性恋共同体学） $ \ text {v} $和框架向量$ \ text {w} $具有框架COHA的subergebra的规范结构。仅限于此子代数，用稳定的信封图鉴定了代数乘法。作为推论，我们推断出一种明确的归纳公式来计算重言式类别的稳定信封。
There are multiple conjectures relating the cohomological Hall algebras (CoHAs) of certain substacks of the moduli stack of representations of a quiver $Q$ to the Yangian $Y^{Q}_{MO}$ by Maulik-Okounkov, whose construction is based on the notion of stable envelopes of Nakajima varieties. In this article, we introduce the cohomological Hall algebra of the moduli stack of framed representations of a quiver $Q$ (framed CoHA) and we show that the equivariant cohomology of the disjoint union of the Nakajima varieties $\mathcal{M}_Q(\text{v},\text{w})$ for all dimension vectors $\text{v}$ and framing vectors $\text{w}$ has a canonical structure of subalgebra of the framed CoHA. Restricted to this subalgebra, the algebra multiplication is identified with the stable envelope map. As a corollary, we deduce an explicit inductive formula to compute stable envelopes in terms of tautological classes.
