论文标题
模块化类别和TQFT超出半径
Modular Categories and TQFTs Beyond Semisimplicity
论文作者
论文摘要
弗拉基米尔·特拉耶夫（Vladimir Turaev）在量子拓扑结构的早期发现，模块化类别的概念是构建三维拓扑量子场理论（简短的TQFTS）的适当结构，其中包含3个manifords中的链接的不变性，例如Witten-Reshetikhin-turaev。近年来，模块化类别的普遍概念（放松半多余的需求）已成功地将Turaev的构造扩展到各种非偏simimple设置。我们报告了该领域的这些最新发展，显示了弗拉基米尔血统的丰富性。
Vladimir Turaev discovered in the early years of quantum topology that the notion of modular category was an appropriate structure for building 3-dimensional Topological Quantum Field Theories (TQFTs for short) containing invariants of links in 3-manifolds such as Witten-Reshetikhin-Turaev ones. In recent years, generalized notions of modular categories, which relax the semisimplicity requirement, have been successfully used to extend Turaev's construction to various non-semisimple settings. We report on these recent developments in the domain, showing the richness of Vladimir's lineage.
