Yuanyuan Bao

collaborators

3 papers

math.GT2025

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…

math.GT2025

On Thompson knot theory and conjugacy classes of Thompson's group $F$

Yuanyuan Bao, Xiaobing Sheng

Jones introduced a method to produce unoriented links from elements of the Thompson's group $F$ , and proved that any link can be produced by this construction. In this paper, we at…

math.GT2024

$gl (1∣1)$ -Alexander polynomial for $3$ -manifolds, Reidemeister torsion and lens spaces

Yuanyuan Bao

In this note, we reformulate the invariant $I^ (M, I ¨ )$ that we defined before, and show its relation with Reidemeister torsion. We calculate $I^ (M, I ¨ )$ when the $3$ -manifolds are…

A multi-variable Alexander polynomial for a framed transverse graph

On Thompson knot theory and conjugacy classes of Thompson's group F

gl(1∣1)-Alexander polynomial for 3-manifolds, Reidemeister torsion and lens spaces

On Thompson knot theory and conjugacy classes of Thompson's group $F$

$gl (1∣1)$ -Alexander polynomial for $3$ -manifolds, Reidemeister torsion and lens spaces