I am a Ph.D. Candidate in Creative Writing and an M.S. Student in Mathematics. I'm writing my master's thesis on knot theory and trying to tie in applications to creative writing. Has anyone come across any sources that explicitly use knot theory as a basis/structure/theoretical underpinning for creative writing/composition? The Oulipo often use combinatorics but I am primarily looking for knot theory focused writing. Thanks!
Not an answer, too long for a comment.
I think you're going to have to invent the theory and provide the first examples for this interesting combination.
You might want to think about how Borges uses self reference and combinatorics (e.g. the Library of Babel).
Particular ideas from knot theory that might enjoy an appearance in fiction or poetry:
The unknot, and how to characterize it
Knot isomorphism and knot invariants, the HOMFLY polynomial
There are no knots in the plane, or in four dimensions