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Displaying similar documents to “Pure virtual braids homotopic to the identity braid”

The classification of partially symmetric 3-braid links

Alexander Stoimenov (2015)

Open Mathematics

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We classify 3-braid links which are amphicheiral as unoriented links, including a new proof of Birman- Menasco’s result for the (orientedly) amphicheiral 3-braid links. Then we classify the partially invertible 3-braid links.

Fibring the complement of the Fenn-Rolfsen link.

Roger Fenn (1989)

Publicacions Matemàtiques

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In this note it is shown that the complement of the singular linked spheres in four dimensions defined by Fenn and Rolfsen can be fibred by tori. Also a symmetry between the two components is revealed which shows that the image provides an example of a Spanier-Whitehead duality. This provides an immediate proof that the α-invariant is non zero.

Link homotopy invariants of graphs in R.

Kouki Taniyama (1994)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we define a link homotopy invariant of spatial graphs based on the second degree coefficient of the Conway polynomial of a knot.

On the necessity of Reidemeister move 2 for simplifying immersed planar curves

Tobias Hagge, Jonathan Yazinski (2014)

Banach Center Publications

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In 2001, motivated by his results on finite-type knot diagram invariants, Östlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion S¹ → ℝ² to the standard embedding of the circle. We show that this conjecture is false.

Delta link-homotopy on spatial graphs.

Ryo Nikkuni (2002)

Revista Matemática Complutense

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We study new equivalence relations in spatial graph theory. We consider natural generalizations of delta link-homotopy on links, which is an equivalence relation generated by delta moves on the same component and ambient isotopies. They are stronger than edge-homotopy and vertex-homotopy on spatial graphs which are natural generalizations of link-homotopy on links. Relationship to existing familiar equivalence relations on spatial graphs are stated, and several invariants are defined...