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
Surgeries between lens spaces of type and the Heegaard Floer -invariant
Zhongtao Wu, Jingling Yang
We establish a -invariant surgery formula for -space knots that provides an effective tool for studying surgeries between lens spaces. Using this formula, we classify distanc…
math.GT2024
Clock Moves and Alexander Polynomial of Plane Graphs
Wenbo Liao, Zhongtao Wu
In this paper, we introduce a notion of clock moves for spanning trees in plane graphs. This enables us to develop a spanning tree model of an Alexander polynomial for a plane grap…