TL;DR
This paper extends Dynnikov coordinates from the punctured disk to a genus-1 surface with multiple punctures and a boundary, broadening their applicability in topological studies.
Contribution
It introduces a generalized Dynnikov coordinate system for genus-1 surfaces with punctures and boundary, expanding the mathematical framework.
Findings
New coordinate system for punctured torus surfaces
Enhanced tools for topological analysis of surfaces
Potential applications in surface classification
Abstract
We generalize Dynnikov coordinate system previosly defined on the standard punctured disk to an orientable surface of genus-1 with n punctures and one boundary component.
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