Geodesic
A signature invariant for knotted Klein graphs
Gille, Catherine1 ; Robert, Louis-Hadrien2
1 Institut de Mathématiques de Jussieu-Paris Rive Gauche, CNRS, Sorbonne Université, Université Paris Diderot, Paris, France
2 Section de Mathématiques, Université de Genève, Genève, Switzerland
Algebraic and Geometric Topology, Tome 18 (2018) no. 6, pp. 3719-3747

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We define some signature invariants for a class of knotted trivalent graphs using branched covers. We relate them to classical signatures of knots and links. Finally, we explain how to compute these invariants through the example of Kinoshita’s knotted theta graph.

DOI : 10.2140/agt.2018.18.3719
Classification : 05C10, 57M12, 57M15, 57M25, 57M27
Keywords: knotted trivalent graphs, branched covering, signature invariants

Gille, Catherine 1 ; Robert, Louis-Hadrien 2

1 Institut de Mathématiques de Jussieu-Paris Rive Gauche, CNRS, Sorbonne Université, Université Paris Diderot, Paris, France
2 Section de Mathématiques, Université de Genève, Genève, Switzerland 
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     title = {A signature invariant for knotted {Klein} graphs},
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Gille, Catherine; Robert, Louis-Hadrien. A signature invariant for knotted Klein graphs. Algebraic and Geometric Topology, Tome 18 (2018) no. 6, pp. 3719-3747. doi: 10.2140/agt.2018.18.3719

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