February 2023 Seifert form of chain-type invertible singularities
Umut Varolgunes
Author Affiliations +
Kyoto J. Math. 63(1): 155-193 (February 2023). DOI: 10.1215/21562261-2022-0038

Abstract

In this paper, we confirm a conjecture of Orlik and Randell from 1977 on the Seifert form of chain-type invertible singularities. We use Lefschetz bifibration techniques as developed by Seidel (inspired by Arnold and Donaldson) and take advantage of the symmetries at hand. We believe that our method will be useful in understanding the homological/categorical version of Berglund–Hübsch mirror conjecture for invertible singularities.

Citation

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Umut Varolgunes. "Seifert form of chain-type invertible singularities." Kyoto J. Math. 63 (1) 155 - 193, February 2023. https://doi.org/10.1215/21562261-2022-0038

Information

Received: 1 April 2020; Revised: 26 January 2021; Accepted: 22 March 2021; Published: February 2023
First available in Project Euclid: 12 January 2023

MathSciNet: MR4593193
zbMATH: 1512.53082
Digital Object Identifier: 10.1215/21562261-2022-0038

Subjects:
Primary: 14D05
Secondary: 53D37

Keywords: invertible singularities , mirror symmetry , Seifert form

Rights: Copyright © 2023 by Kyoto University

Vol.63 • No. 1 • February 2023
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