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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2011 · math.GTShow all

7 papers · 2 filters

math.GT2011★ 23 cited

Open Book Foliations

Tetsuya Ito, Keiko Kawamuro

We study open book foliations on surfaces in 3-manifolds, and give applications to contact geometry of dimension 3. We prove a braid-theoretic formula of the self-linking number of…

math.GT2011★ 3 cited

On the colored Jones polynomials of ribbon links, boundary links and Brunnian links

Sakie Suzuki

Habiro gave principal ideals of Z[q,q^{-1}] in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that t…

math.GT2011★ 2 cited

On the universal sl_2 invariant of Brunnian bottom tangles

Sakie Suzuki

A link L is called Brunnian if every proper sublink of L is trivial. Similarly, a bottom tangle T is called Brunnian if every proper subtangle of T is trivial. In this paper, we gi…

math.GT2011★ 5 cited

Homology cylinders of higher-order

Takahiro Kitayama

We study algebraic structures of certain submonoids of the monoid of homology cylinders over a surface and the homology cobordism groups, using Reidemeister torsion with non-commut…

math.GT2011★ 19 cited

Non-left-orderable double branched coverings

Tetsuya Ito

We develop a method to show the fundamental group of the double branched covering of a link is not left-orderable by introducing the notion of the coarse presentation. As in the us…

math.GT2011★ 5 cited

On the universal sl_2 invariant of boundary bottom tangles

Sakie Suzuki

The universal sl_2 invariant of bottom tangles has a universality property for the colored Jones polynomial of links. Habiro conjectured that the universal sl_2 invariant of bounda…

math.GT2011★ 4 cited

Triple linking numbers and triple point numbers of certain -links

Inasa Nakamura

The triple linking number of an oriented surface link was defined as an analogical notion of the linking number of a classical link. We consider a certain -component -link…