Boundary Dehn twists on Milnor fibers and Family Bauer--Furuta invariants

2024/10/29 by Jin Miyazawa, Miyazawa, Jin · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #IgG4-Related and Inflammatory Diseases #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2410.21742

openalex publication_date 2024/10/29 · openalex created_date 2024/11/14 · openalex updated_date 2026/07/28

Abstract

We proved that the boundary Dehn twist on the Milnor fiber M_c(2, q, r) is an exotic diffeomorphism relative to the boundary if q, r are odd, coprime integers bigger than 3 and (q-1)(r-1)/4 is an odd number. The proof is given by comparing the family relative Bauer--Furuta invariants of the mapping torus.

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