Lecture “What is...geometric topology?’’; lecture 6
Goal.
Explaining basic concepts of geometric topology in an intuitive way.
This time.
Lecture “What is...geometric topology?’’; lecture 6. (Or rather: the stuff I wasn't able to say in lecture 5.)
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 lecture is mostly about knots, surfaces, and graphs.
Sorry.
These lectures were automatically recorded via the University of Sydney’s recording system. The audio quality could be better, I guess, but I can't change that.
Slides.
http://www.dtubbenhauer.com/lecture-g...
Website with exercises.
http://www.dtubbenhauer.com/lecture-g...
Thumbnail.
https://upload.wikimedia.org/wikipedi...
Related video series.
The “What is...geometric topology?” here: / visualmath
But be careful that the choice of topics is different and the order is also different!
Some books I am using (I sometimes steal some pictures from there).
https://www.math.cuhk.edu.hk/course_b...
https://arxiv.org/abs/1610.02592?cont...
https://www.degruyter.com/document/do...
https://bookstore.ams.org/fourman
https://www.degruyter.com/document/do...
https://bookstore.ams.org/surv-55
https://bookstore.ams.org/gsm-20
KnotAtlas.
http://katlas.math.toronto.edu/wiki/T...
SnapPy.
https://snappy.math.uic.edu/
Mathematica.
http://katlas.org/wiki/The_Mathematic...
https://demonstrations.wolfram.com/Ch...
SageMath.
https://doc.sagemath.org/html/en/refe...
#geometrictopology
#topology
#mathematics