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Bibliographic Details
Main Authors: Cavalieri, Renzo, Williams, Matthew M.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.13201
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Table of Contents:
  • This paper studies the relationship between quadratic Hodge classes on moduli spaces of pseudostable and stable curves given by the contraction morphism $\mathcal{T}.$ While Mumford relations do not hold in the pseudostable case, we show that one can express the (pullback via $\mathcal{T}$ of the) Chern classes of $\mathbb{E}\oplus \mathbb{E}^\vee$ solely in terms of descendants and strata classes. We organize the combinatorial structure of the pullback of products of two pseudostable $λ$ classes and obtain an explicit comparison of arbitrary pseudostable and stable quadratic Hodge integrals.