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math.GT2015
Cosmetic surgery in L-spaces and nugatory crossings
Tye Lidman, Allison H. Moore
The cosmetic crossing conjecture (also known as the "nugatory crossing conjecture") asserts that the only crossing changes that preserve the oriented isotopy class of a knot in the…
math.GT2015
Symmetric unions without cosmetic crossing changes
Allison H. Moore
A symmetric union of two knots is a classical construction in knot theory which generalizes connected sum, introduced by Kinoshita and Terasaka in the 1950s. We study this construc…