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

Autor:	Miyazawa, Jin
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.21742 Zobrazit plný text záznamu View this record from Arxiv