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VOL. 83 | 2019 The phase factors in singularity theory
Todor Milanov

Editor(s) Kentaro Hori, Changzheng Li, Si Li, Kyoji Saito

Abstract

The paper [2] proposed a construction of a twisted representation of the lattice vertex algebra corresponding to the Milnor lattice of a simple singularity. The main difficulty in extending the above construction to an arbitrary isolated singularity is in the so called phase factors – the scalar functions produced by composing two vertex operators. They are certain family of multivalued analytic functions on the space of miniversal deformations. The first result in this paper is an explicit formula for the unperturbed phase factors in terms of the classical monodromy operator and the polylogorithm functions. Our second result is that with respect to the deformation parameters the phase factors are analytic functions on the monodromy covering space.

Information

Published: 1 January 2019
First available in Project Euclid: 26 December 2019

zbMATH: 07276145

Digital Object Identifier: 10.2969/aspm/08310295

Subjects:
Primary: 14D05, 14N35, 17B69

Rights: Copyright © 2019 Mathematical Society of Japan

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