Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2023; 60(1): 113-122

Online first article September 2, 2022      Printed January 31, 2023

https://doi.org/10.4134/BKMS.b210923

Copyright © The Korean Mathematical Society.

Lens spaces admitting minimal symplectic fillings with the second Betti number one

Heesang Park, Dongsoo Shin

Konkuk University; Chungnam National University

Abstract

We classify lens spaces with the Milnor fillable contact structure that admit minimal symplectic fillings whose second Betti numbers are one.

Keywords: Cyclic quotient surface singularity, lens space, Milnor fiber, symplectic filling

MSC numbers: 57K43, 57R17

Supported by: Dongsoo Shin was supported by research fund of Chungnam National University in 2020.