Fundamental Matrix Factorization in the FJRW-Theory Revisited

Fundamental Matrix Factorization in the FJRW-Theory Revisited
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DOI:
10.1007/s40598-019-00100-3
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发表时间:
2017-12
影响因子:
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通讯作者:
A. Polishchuk
A. Polishchuk
中科院分区:
--
文献类型:
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作者:
A. Polishchuk

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我们提出了Polishchuk和Vaintrob给出的FJRW理论中基本矩阵分解的改进构造(J Reine Angew Math 714:1-22,2016)。修改后的结构使选择的独立性更加明显,并且适用于可能非阿贝尔的有限对称群。其中一个新的组成部分是dg-方案上的dg-矩阵分解范畴。
We present an improved construction of the fundamental matrix factorization in the FJRW-theory given in Polishchuk and Vaintrob (J Reine Angew Math 714:1–22, 2016). The revised construction makes the independence on choices more apparent and works for a possibly nonabelian finite group of symmetries. One of the new ingredients is the category of dg-matrix factorizations over a dg-scheme.