An extension of the LMO functor

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• 作者：Yuta Nozaki
• 关键词：LMO functor/invariant ; Cobordism ; Tangle ; Finite ; type invariant ; Milnor invariant
• 刊名：Geometriae Dedicata
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：185
• 期：1
• 页码：271-306
• 全文大小：2,081 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1572-9168
• 卷排序：185

文摘

Cheptea, Habiro and Massuyeau constructed the LMO functor, which is defined on a certain category of cobordisms between two surfaces with at most one boundary component. In this paper, we extend the LMO functor to the case of any number of boundary components, and our functor reflects relations among the parts corresponding to the genera and boundary components of surfaces. We also discuss a relationship with finite-type invariants and Milnor invariants.