2 papers
math.GT2024
Counterexamples to Allen's conjectures
Kouki Sato
We show that the torus knots and bound smooth Möbius bands in the 4-ball whose double branched covers are negative definite, giving counterexamples to Conjectures…
math.GT2024
An unoriented analogue of slice-torus invariant
Kouki Sato
A slice-torus invariant is an -valued homomorphism on the knot concordance group whose value gives a lower bound for the 4-genus such that the equality holds for any po…