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arXiv · 2305.17907

Genus-zero $r$-spin theory

Renzo Cavalieri·Tyler L. Kelly·Rob Silversmith
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Abstract

We provide an explicit formula for all primary genus-zero $r$-spin invariants. Our formula is piecewise polynomial in the monodromies at each marked point and in $r$. 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.

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Renzo Cavalieri, Tyler L. Kelly, Rob Silversmith. 2023-05-29. Genus-zero $r$-spin theory. https://arxiv.org/abs/2305.17907

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