From the 1 of 7 linked papers with an AI index.
7 papers
Non-kinetic homotopy coherent actions on four-manifolds
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We give the first example of a non-kinetic smooth homotopy coherent action of order two on a closed simply connected smooth four-manifold. This action is obtained by restricting a…
Unknotting number, ribbon concordance, and singular instantons
Hayato Imori, JungHwan Park, Masaki Taniguchi
The authors apply equivariant singular instanton Floer theory equipped with a Chern–Simons filtration to prove that unknotting sequences for many slice knots obtained via ribbon co…
Forbidden configurations and definite fillings of lens spaces
Antony T. H. Fung, JungHwan Park
We study definite fillings of lens spaces. We classify the lens spaces for which every smooth negative-definite filling satisfies \[ b_2(X)\ge b_2(X(p,q))-1, \] where…
Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We develop a -equivariant refinement of the lattice homotopy type for computing equivariant Seiberg--Witten Floer homotopy types. As an applica…
Smooth concordance of cables of the figure-eight knot
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We prove that every nontrivial cable of the figure-eight knot has infinite order in the smooth knot concordance group. Our main contribution is a uniform proof that applies to all…
Cables of the figure-eight knot via real Frøyshov invariants
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We prove that the -cable of the figure-eight knot is not smoothly slice when is odd, by using the real Seiberg-Witten Frøyshov invariant of Konno-Miyazawa-Taniguchi. F…