1 citations · 2 across the 7 of their papers we have counts for
7 papers
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.…
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…
A gauge theoretic invariant of embedded surfaces in -manifolds and exotic -knots
Jin Miyazawa
We give an infinite family of embeddings of to such that they are mutually topologically isotopic however are not smoothly isotopic to each other. Moreover,…
Involutions, links, and Floer cohomologies
Hokuto Konno, Jin Miyazawa, Masaki Taniguchi
We develop a version of Seiberg--Witten Floer cohomology/homotopy type for a spin 4-manifold with boundary and with an involution which reverses the spin structure, as well…
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…
Involutions, knots, and Floer K-theory
Hokuto Konno, Jin Miyazawa, Masaki Taniguchi
We establish a version of Seiberg--Witten Floer -theory for knots, as well as a version of Seiberg-Witten Floer -theory for 3-manifolds with involution. The main theorems are…
Localization of a -valued index and the orientability of the monopole moduli space
Jin Miyazawa
It is known that the Dirac index of a structure is localized to the characteristic submanifold. We introduce the notion of structure on a manifold as…