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Analyticity of the total ancestor potential in singularity theory

Authors :
Milanov, Todor
Publication Year :
2013

Abstract

K. Saito's theory of primitive forms gives a natural semi-simple Frobenius manifold structure on the space of miniversal deformations of an isolated singularity. On the other hand, Givental introduced the notion of a total ancestor potential for every semi-simple point of a Frobenius manifold and conjectured that in the settings of singularity theory his definition extends analytically to non-semisimple points as well. In this paper we prove Givental's conjecture by using the Eynard--Orantin recursion.<br />Comment: 20 pages. arXiv admin note: substantial text overlap with arXiv:1211.5847, arXiv:1203.3414

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1303.3103
Document Type :
Working Paper