Tautological relations in moduli spaces of weighted pointed curves

Felix Janda

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arXiv · 1306.6580

Tautological relations in moduli spaces of weighted pointed curves

Felix Janda

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Abstract

Pandharipande-Pixton have used the geometry of the moduli space of stable quotients to produce relations between tautological Chow classes on the moduli space $M_g$ of smooth genus g curves. We study a natural extension of their methods to the boundary and more generally to Hassett's moduli spaces $\overline M_{g, w}$ of stable nodal curves with weighted marked points. Algebraic manipulation of these relations brings them into a Faber-Zagier type form. We show that they give Pixton's generalized FZ relations when all weights are one. As a special case, we give a formulation of FZ relations for the n-fold product of the universal curve over $M_g$.

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BibTeX RIS

Felix Janda. 2013-06-27. Tautological relations in moduli spaces of weighted pointed curves. https://arxiv.org/abs/1306.6580

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