3 papers
math.GT2025
A satellite formula for real Seiberg-Witten Floer homotopy types
Jin Miyazawa, JungHwan Park, Masaki Taniguchi
We establish a satellite formula for the real Seiberg-Witten Floer homotopy types of knots with odd patterns. Using this, we derive several applications to knot concordance theory.…
math.GT2024
Boundary Dehn twists on Milnor fibers and Family Bauer--Furuta invariants
Jin Miyazawa
We proved that the boundary Dehn twist on the Milnor fiber is an exotic diffeomorphism relative to the boundary if are odd, coprime integers bigger than a…
math.DG2022
Localization of indices and orientations on -instanton moduli spaces
Jin Miyazawa
Joyce, Tanaka, and Upmeier give an orientation of the -instanton moduli spaces on a closed four manifolds which is canonically defined using the the structure…