论文标题

高级梅西产品和应用

Higher order Massey products and applications

论文作者

Limonchenko, Ivan, Millionshchikov, Dmitry

论文摘要

在这项调查中,我们讨论了与Massey更高运营有关的两个研究领域。第一个方向与谎言代数的同谋和表示理论有关。第二个主要主题是在复曲面拓扑,多面体产品的同型理论和局部环的同源理论,史丹利 - 赖斯纳的同源性理论。

In this survey, we discuss two research areas related to Massey's higher operations. The first direction is connected with the cohomology of Lie algebras and the theory of representations. The second main theme is at the intersection of toric topology, homotopy theory of polyhedral products, and the homology theory of local rings, Stanley-Reisner rings of simplicial complexes.

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