A group action on Losev-Manin cohomological field theories

Details A group action on Losev-Manin cohomological field theories A group action on Losev-Manin cohomological field theories

2009-09-04

arxiv.org/abs/0909.0800v1

Mathematics

Algebraic Geometry

21 pages, 9 figures

Scientific paper

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.

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