分野別セミナー

Loi and Piergallini proved that every compact Stein surface admits a PALF (positive allowable Lefschetz fibration) over a 2-disk. Akbulut and Yasui introduced cork twist and plug twist to construct various families of arbitrary many compact Stein surfaces which are mutually homeomorphic but not diffeomorphic.

In this talk, we construct an explicit PALF of genus 1 on every Akbulut-Yasui plug and describe monodromies of PALF's on two Stein surfaces related by a plug twist.