Corpus ID: 10687400

A Minus Sign That Used to Annoy Me But Now I Know Why It Is There (Two Constructions of the Jones Polynomial)

@inproceedings{Tingley2010AMS,
  title={A Minus Sign That Used to Annoy Me But Now I Know Why It Is There (Two Constructions of the Jones Polynomial)},
  author={Peter Tingley},
  year={2010}
}

Peter Tingley

Published 2010

Mathematics, Philosophy

There are (at least) two well known constructions of link invariants. One uses skein theory: you resolve each crossing of the link as a linear combination of things that don’t cross, until you eventually get a linear combination of links with no crossings, which you turn into a polynomial. The other uses quantum groups: you construct a functor from a topological category to some category of representations, in such a way that (oriented framed) links get sent to endomorphisms of the trivial… CONTINUE READING

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