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09/02/2021
Knot invariants and their relations: a topological perspective
This work brings methods from topological data analysis to knot theory a...
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12/20/2019
Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial
We examine the structure and dimensionality of the Jones polynomial usin...
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03/20/2019
Local Versus Global Distances for Zigzag Persistence Modules
This short note establishes explicit and broadly applicable relationship...
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12/13/2018
The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs
Metric graphs are meaningful objects for modeling complex structures tha...
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12/18/2017