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

Jin Miyazawa

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arXiv · 2410.21742

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

Jin Miyazawa

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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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Jin Miyazawa. 2024-10-29. Boundary Dehn twists on Milnor fibers and Family Bauer--Furuta invariants. https://arxiv.org/abs/2410.21742

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