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What is...the unknotting problem?
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Goal.
Explaining basic concepts of geometric topology in an intuitive way.
This time.
What is...the unknotting problem? Or: How to detect the unknot?!
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Disclaimer.
Geometric topology is usually the study of manifolds. This can mean manifold things ;-) So to be precise, this video series is mostly about knots, surfaces, three and four manifolds.
Slides.
Website with exercises.
Thumbnail.
Geometric topology.
Concepts in geometric topology.
Applications of geometric topology.
The wild world of four manifolds.
History of topology.
Unknotting problem.
Jones polynomial and Khovanov homology.
Pictures used.
Some books I am using (I sometimes steal some pictures from there).
KnotAtlas.
SnapPy.
Mathematica.
SageMath.
#geometrictopology
#topology
#mathematics
Explaining basic concepts of geometric topology in an intuitive way.
This time.
What is...the unknotting problem? Or: How to detect the unknot?!
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Disclaimer.
Geometric topology is usually the study of manifolds. This can mean manifold things ;-) So to be precise, this video series is mostly about knots, surfaces, three and four manifolds.
Slides.
Website with exercises.
Thumbnail.
Geometric topology.
Concepts in geometric topology.
Applications of geometric topology.
The wild world of four manifolds.
History of topology.
Unknotting problem.
Jones polynomial and Khovanov homology.
Pictures used.
Some books I am using (I sometimes steal some pictures from there).
KnotAtlas.
SnapPy.
Mathematica.
SageMath.
#geometrictopology
#topology
#mathematics
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