Genus-zero $r$-spin theory
Algebraic Geometry
2023-11-22 v2
Abstract
We provide an explicit formula for all primary genus-zero -spin invariants. Our formula is piecewise polynomial in the monodromies at each marked point and in . To deduce the structure of these invariants, we use a tropical realization of the corresponding cohomological field theories. We observe that the collection of all WDVV relations is equivalent to the relations deduced from the fact that genus-zero tropical CohFT cycles are balanced.
Cite
@article{arxiv.2305.17907,
title = {Genus-zero $r$-spin theory},
author = {Renzo Cavalieri and Tyler L. Kelly and Rob Silversmith},
journal= {arXiv preprint arXiv:2305.17907},
year = {2023}
}
Comments
28 pages, minor revision, to appear in Moduli