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math.GT2021★ 1 cited
On the nonorientable four-ball genus of torus knots
Fraser Binns, Sungkyung Kang, Jonathan Simone +1
The nonorientable four-ball genus of a knot in is the minimal first Betti number of nonorientable surfaces in bounded by . By amalgamating ideas from involutive…
math.GT2021★ 5 cited
The upsilon invariant at 1 of 3-braid knots
Paula Truöl
We provide explicit formulas for the integer-valued smooth concordance invariant for every 3-braid knot . We determine this invariant, which was defined b…