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arXiv · 1704.02011

Topological recursion relations from Pixton's formula

Emily Clader·Felix Janda·Xin Wang·Dmitry Zakharov
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Abstract

We prove that every degree-g polynomial in the $\psi$-classes on $\overline{\mathcal M}_{g, n}$ can be expressed as a sum of tautological classes supported on the boundary with no $\kappa$-classes. Such equations, which we refer to as topological recursion relations, can be used to deduce universal equations for the Gromov-Witten invariants of any target.

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Emily Clader, Felix Janda, Xin Wang, Dmitry Zakharov. 2017-04-06. Topological recursion relations from Pixton's formula. https://doi.org/10.1307/mmj/20195795

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