An extension of the LMO functor

An extension of the LMO functor

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 amon...

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Veröffentlicht in:Geometriae dedicata 2016-12, Vol.185 (1), p.271-306
1. Verfasser: Nozaki, Yuta
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Invariants
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Topology
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Zusammenfassung: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.
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-016-0176-y