论积分结构类型
On integral structure types
摘要：
我们引入整体结构类型作为虚拟组合物种的分类模拟。积分结构类型然后分类幂级数与可能的负系数，以同样的方式组合物种分类幂级数与非负的合理系数。组合物种上的算子的概念自然地延伸到积分结构类型，并且根据它们的“否定性”，我们定义了积分结构类型上的两个算子的交换子的概念。然后，我们将积分结构类型推广到Baez和Dolan引入的填充类型的设置上，最后利用积分结构类型给出了Chern类射影超曲面的组合描述.
英文摘要：
We introduce integral structure types as a categorical analogue of virtual combinatorial species. Integral structure types then categorify power series with possibly negative coefficients in the same way that combinatorial species categorify power series with non-negative rational coefficients. The notion of an operator on combinatorial species naturally extends to integral structure types, and in light of their `negativity' we define the notion of the commutator of two operators on integral structure types. We then extend integral structure types to the setting of stuff types as introduced by Baez and Dolan, and then conclude by using integral structure types to give a combinatorial description for Chern classes of projective hypersurfaces.
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