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I am a knot theorist (PhD student) and always tickled when the subject pops up on HN. Curious what the author had in mind including this in his algebraic topol
by orlandpm 7mo ago
I am a knot theorist (PhD student) and always tickled when the subject pops up on HN. Curious what the author had in mind including this in his algebraic topology notes. Even the Jones polynomial which is both algebra and topology is not usually called "algebraic topology", but rather "quantum topology".
If anyone is interested in a conversational intro to the subject with lots of pictures, I suggest these semi-famous "Knots Knotes" (amazing title)
https://mathweb.ucsd.edu/~justin/Roberts-Knotes-Jan2015.pdf https://mathweb.ucsd.edu/~justin/Roberts-Knotes-Jan2015.pdf
- jbmsf 7mo agoI get excited because I went to school with one of Vaughan Jones' children and was (and still am) into math and was blown away when I understood that he was significant.
- srean 7mo agoThat's a wonderful set of Knotes. Thank you. BTW is your book out ? (On algebra and programming)
- agrounds 7mo agoThanks very much for sharing these notes. I studied algebraic topology in grad school but somehow avoided knot theory entirely. Reading these has sparked that feeling I had when I first got into topology.
- t0mpr1c3 7mo agoThis set of notes is a fabulous document. Thank you so much. My personal interest in this subject extends from machine knitting through category theory (https://www.youtube.com/watch?v=iEaK68VRAng https://www.youtube.com/watch?v=iEaK68VRAng and more particularly https://textiles-lab.github.io/publications/2025-knit-equivalence/ https://textiles-lab.github.io/publications/2025-knit-equiva...)