Communications in Analysis and Geometry
Volume 28 (2020)
On LMO invariant constraints for cosmetic surgery and other surgery problems for knots in $S^3$
Pages: 321 – 349
We use the LMO invariant to find constraints for a knot to admit a purely or reflectively cosmetic surgery. We also get a constraint for knots to admit a lens space surgery, and some information about characterizing slopes.
Received 24 April 2017
Accepted 10 December 2017
Published 6 May 2020