Nakajima簇椭圆稳定包络的混洗积
Shuffle products for elliptic stable envelopes of Nakajima varieties
摘要：
我们找到了一个显式公式，该公式从那些Nakajima簇的框架向量是一个非零的基本向量，即只有一个酉非零项的维数向量的那些Nakajima簇中归纳出与一个非零的一个任意Nakajima簇的椭圆稳定包络。结果依赖于稳定包络的阿贝尔化。作为应用，我们将所得结果与平面上点的Hilbert格式的椭圆稳定包络的Smirnov公式相结合，得到了瞬子模空间的椭圆稳定包络.
英文摘要：
We find an explicit formula that produces inductively the elliptic stable envelopes of an arbitrary Nakajima variety associated to a quiver Q from the ones of those Nakajima varieties whose framing vectors are the fundamental vectors of the quiver Q, i.e. the dimension vectors with just one unitary nonzero entry. The result relies on abelianization of stable envelopes. As an application, we combine our result with Smirnov's formula for the elliptic stable envelopes of the Hilbert scheme of points on the plane to produce the elliptic stable envelopes of the instanton moduli space.
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