7 citations · 14 across the 12 of their papers we have counts for
12 papers
A multi-variable Alexander polynomial for a framed transverse graph
Yuanyuan Bao, Zhongtao Wu
We propose a definition of the rotation number for transverse graph diagrams, extending the classical notion of the rotation number for plane curves. Using this, we introduce a nor…
On Thompson knot theory and conjugacy classes of Thompson's group
Yuanyuan Bao, Xiaobing Sheng
Jones introduced a method to produce unoriented links from elements of the Thompson's group , and proved that any link can be produced by this construction. In this paper, we at…
-Alexander polynomial for -manifolds, Reidemeister torsion and lens spaces
Yuanyuan Bao
In this note, we reformulate the invariant that we defined before, and show its relation with Reidemeister torsion. We calculate when the -manifolds are lens…
-Alexander polynomial for -manifolds
Yuanyuan Bao, Noboru Ito
As an extension of Reshetikhin and Turaev's invariant, Costantino, Geer and Patureau-Mirand constructed -manifold invariants in the setting of relative -modular categories, w…
Alexander polynomial and spanning trees
Yuanyuan Bao, Zhongtao Wu
Inspired by the combinatorial constructions in earlier work of the authors that generalized the classical Alexander polynomial to a large class of spatial graphs with a balanced we…
A topological interpretation of Viro's -Alexander polynomial of a graph
Yuanyuan Bao
This is a sequel to [arXiv:1708.09092v2]. For an oriented trivalent graph without source or sink embedded in , we prove that the -Alexander polynomial…
An Alexander polynomial for MOY graphs
Yuanyuan Bao, Zhongtao Wu
We introduce an Alexander polynomial for MOY graphs. For a framed trivalent MOY graph , we refine the construction and obtain a framed ambient isotopy invariant $Δ_{(\m…
Polynomial splittings of Ozsvath and Szabo's d-invariant
Yuanyuan Bao
For any rational homology 3-sphere and one of its spin^{c}-structures, Ozsvath and Szabo defined a topological invariant, called d-invariant. Given a knot in the 3-sphere, the d-in…
On knots having zero negative unknotting number
Yuanyuan Bao
A knot in the 3-sphere is said to have zero negative unknotting number if it can be transformed into the unknot by performing only positive crossing changes. In this paper, we prov…
Floer homology and embedded bipartite graphs
Yuanyuan Bao
We generalize the construction of the Heegaard Floer homology for a singular knot to that for a balanced bipartite graph. For a given graph, we provide a combinatorial description…
A note on knots with H(2)-unknotting number one
Yuanyuan Bao
We give an obstruction to unknotting a knot by adding a twisted band, derived from Heegaard Floer homology.
On the knot Floer homology of a class of satellite knots
Yuanyuan Bao
Knot Floer homology is an invariant for knots in the three-sphere for which the Euler characteristic is the Alexander-Conway polynomial of the knot. The aim of this paper is to stu…