Work

Primitive Forms without Higher Residue Structure and Integrable Hierarchies (I)

Year: 2020

Type: preprint

Abstract: We introduce primitive forms with or without higher residue structure and explore their connection with the flat structures with or without a metric and integrable hierarchies of KdV type. Just as the classical case of primitive forms with metric arXiv:1311.1659, the primitive forms without metrics are constructed as the positive part of the Birkhoff decomposition of formal oscillatory integrals with respect to the descendent variable. The oscilating integrals of a primitive form without metric give rise to a hierarchy of commuting PDE of the KdV type as in the case of primitive forms with metric. This shall be studied in (II).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2012.00844

Authors: Aleshkin, Konstantin, Saito, Kyoji

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Okinawa Institute of Science and Technology Graduate University

OpenAlex ID: W3107101561

Cites:

Cited by:

Related to: 10