Boundary Dehn twists on Milnor fibers and Family Bauer--Furuta invariants
Abstract
We proved that the boundary Dehn twist on the Milnor fiber Mc(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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