output
19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2005 · math.GTShow all

7 papers · 2 filters

math.GT2005

Vanishing of 3-Loop Jacobi Diagrams of Odd Degree

Daniel Moskovich, Tomotada Ohtsuki

We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop finite-type invariant can distinguish between a knot and its inverse.

math.GT2005

Brunnian links, claspers and Goussarov-Vassiliev finite type invariants

Kazuo Habiro

We prove that if n\ge1, then an (n+1)-component Brunnian link L in a connected, oriented 3-manifold is C_n-equivalent to an unlink. We also prove that if n\ge2, then L can not be d…

math.GT2005

Finite type invariants and Milnor invariants for Brunnian links

Kazuo Habiro, Jean-Baptiste Meilhan

A link L in the 3-sphere is called Brunnian if every proper sublink of L is trivial. In a previous paper, the first author proved that the restriction to Brunnian links of any Gous…

math.GT2005★ 10 cited

Refined Kirby calculus for integral homology spheres

Kazuo Habiro

A theorem of Kirby states that two framed links in the 3-sphere produce orientation-preserving homeomorphic results of surgery if they are related by a sequence of stabilization an…

math.GT2005★ 3 cited

Surgery untying of coloured knots

Daniel Moskovich

For p=3 and for p=5 we prove that there are exactly p equivalence classes of p-coloured knots modulo (+/-1)--framed surgeries along unknots in the kernel of a p-colouring. These eq…

math.GT2005★ 6 cited

Homology 3-spheres in codimension three

Masamichi Takase

For smooth embeddings of an integral homology 3-sphere in the 6-sphere, we define an integer invariant in terms of their Seifert surfaces. Our invariant gives a bijection between t…

math.GT2005★ 66 cited

Bottom tangles and universal invariants

Kazuo Habiro

A bottom tangle is a tangle in a cube consisting only of arc components, each of which has the two endpoints on the bottom line of the cube, placed next to each other. We introduce…