介绍映射类群的量子表示

Topology and Geometry Pub Date : 2018-12-10 DOI:10.4171/irma/33-1/7

Julien March'e

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引用次数: 5

摘要

我们提供了映射类组的Witten-Reshetikhin-Turaev表示的(几乎)自包含的构造。我们描述了它的性质，包括厄米结构，不可约性和完整性(在素数水平)。这些音符的构造仅依赖于绞丝理论(考夫曼支架)，而不使用手术技术。我们希望非专业人士也能接触到它们。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Introduction to quantum representations of mapping class groups

We provide an (almost) self-contained construction of the Witten-Reshetikhin-Turaev representations of the mapping class group. We describe its properties including its Hermitian structure, irreducibility and integrality (at prime level). The construction of these notes relies only on skein theory (Kauffman Bracket) and does not use surgery techniques. We hope that they will be accessible to non-specialists.

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来源期刊

Topology and Geometry

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