The 2-component BKP Grassmanian and simple singularities of type D
Algebraic Geometry
2018-04-23 v1 High Energy Physics - Theory
Dynamical Systems
Abstract
It was proved in 2010 that the principal Kac--Wakimoto hierarchy of type is a reduction of the 2-component BKP hierarchy. On the other hand, it is known that the total descendant potential of a singularity of type is a tau-function of the principal Kac--Wakimoto hierarchy. We find explicitly the point in the Grassmanian of the 2-component BKP hierarchy (in the sense of Shiota) that corresponds to the total descendant potential. We also prove that the space of tau-functions of Gaussian type is parametrized by the base of the miniversal unfolding of the simple singularity of type .
Keywords
Cite
@article{arxiv.1804.07417,
title = {The 2-component BKP Grassmanian and simple singularities of type D},
author = {Jipeng Cheng and Todor Milanov},
journal= {arXiv preprint arXiv:1804.07417},
year = {2018}
}
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36 pages