A group action on Losev-Manin cohomological field theories
Algebraic Geometry
2024-06-26 v1 Quantum Algebra
Abstract
We discuss an analog of the Givental group action for the space of solutions of the commutativity equation. There are equivalent formulations in terms of cohomology classes on the Losev-Manin compactifications of genus 0 moduli spaces; in terms of linear algebra in the space of Laurent series; in terms of differential operators acting on Gromov-Witten potentials; and in terms of multi-component KP tau-functions. The last approach is equivalent to the Losev-Polyubin classification that was obtained via dressing transformations technique.
Keywords
Cite
@article{arxiv.0909.0800,
title = {A group action on Losev-Manin cohomological field theories},
author = {Sergey Shadrin and Dimitri Zvonkine},
journal= {arXiv preprint arXiv:0909.0800},
year = {2024}
}
Comments
21 pages, 9 figures