A handout for this talk will be available at https://www.rolandvdv.nl/Talks/Stavros25/ [4].
In joint work with Daniel Lopez Neumann we showed how the quantum invariants arising from the twisted double yield a lower bound for the knot genus. We will give an elementary sketch of the construction and discuss further applications.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/quantop25
[4] https://www.rolandvdv.nl/Talks/Stavros25/