Skein Modules of 3-Manifolds
Skein Modules of 3-Manifolds
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DOI：
10.1201/9781138298217-74
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发表时间：
2006-11
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影响因子：
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通讯作者：
J. Przytycki
中科院分区：
文献类型：
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作者：
J. Przytycki
尝试将环的新的多项式不变量置于代数拓扑学中是很自然的(例如，尝试使用同调或同伦群来解释它们)。然而，人们可以认为这些新的多项式不变量是3-流形的一个新的更精细的代数不变量的副产品，它度量了(同伦的)环的同伦的阻碍。我们基于Conway(1969)引入的Skein理论和Giller(1982)以及Lickorish和Millett(1987)发展的Skein理论提出了这样一个代数不变量。(这是我写的第一篇关于skein模块的论文，大约在20年前。最近对Skein模块的调查可在此http URL上获得)
It is natural to try to place the new polynomial invariants of links in algebraic topology (e.g. to try to interpret them using homology or homotopy groups). However, one can think that these new polynomial invariants are byproducts of a new more delicate algebraic invariant of 3-manifolds which measures the obstruction to isotopy of links (which are homotopic). We propose such an algebraic invariant based on skein theory introduced by Conway (1969) and developed by Giller (1982) as well as Lickorish and Millett (1987). (This is the first paper I wrote about skein modules, almost 20 years ago. The recent survey of skein modules is available at this http URL)