Cobordism invariants of the moduli space of stable pairs
Cobordism invariants of the moduli space of stable pairs
复制标题
稳定对模空间的配边不变量
DOI：
10.1112/jlms/jdw043
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Junliang Shen
中科院分区：
文献类型：
--
作者：
Junliang Shen
对于具有完全阻塞理论的拟射影格式M，我们构造了M的虚余边类，它是泛虚基本类。如果M是射影的，那么我们证明了虚拟余边类的对应的陈数是由虚拟切丛的陈类的积分给出的。此外，我们还研究了Pandharipande-Thomas引入的稳定对的模空间的协边不变量。对配分函数的合理性和一个函数方程进行了猜想，这可以看作是Calabi-Yau情形的合理性和Q-1↔Q对称性的推广。我们用子孙理论证明了非奇异射影环3-折的合理性。
For a quasi‐projective scheme M which carries a perfect obstruction theory, we construct the virtual cobordism class of M which is the universal virtual fundamental class. If M is projective, then we prove that the corresponding Chern numbers of the virtual cobordism class are given by integrals of the Chern classes of the virtual tangent bundle. Furthermore, we study cobordism invariants of the moduli space of stable pairs introduced by Pandharipande–Thomas. Rationality of the partition function is conjectured together with a functional equation, which can be regarded as a generalization of the rationality and q-1↔q symmetry of the Calabi–Yau case. We prove rationality for nonsingular projective toric 3‐folds by the theory of descendants.
影响因子：
3.1
作者：
Pandharipande, R.;Thomas, R. P.
通讯作者：
Thomas, R. P.