论文标题
BPS 2度的bps coomology 0 Higgs束（以及更多）
BPS cohomology for rank 2 degree 0 Higgs bundles (and more)
论文作者
论文摘要
我们给出了一个公式，将等级2度的模量堆栈的E系列与其粗模量空间的相交e-polynomials相结合。 Parellel公式在各种2-Calabi-yau设置中都有，例如在K3表面上的滑轮或$ g $ -Loop Quivers的预注射式代数。结果，我们为戴维森的BPS捆绑捆绑式捆绑的同谋提供了证据，这对非亚伯式霍奇理论具有堆栈的意义。我们将公式应用于Higgs束和K3表面的BPS共同体学$χ$独立测试。
We give a formula comparing the E-series of the moduli stacks of rank 2 degree 0 semistable Higgs bundles in genus $g \geq 2$ to intersection E-polynomials of its coarse moduli space. A parellel formula holds in various 2-Calabi-Yau settings, for example for sheaves on K3 surfaces, or preprojective algebras of $g$-loop quivers. As a consequence we provide evidence for a conjecture of Davison on the BPS cohomology of Higgs bundles, which has implications for non-abelian Hodge theory for stacks. We apply the formula to cohomological $χ$-independence tests for BPS cohomology of Higgs bundles and K3 surfaces.
