A descendent relation in genus 2

Pavel Belorousski; Rahul Pandharipande

Displaying similar documents to “A descendent relation in genus 2”

Calculating cohomology groups of moduli spaces of curves via algebraic geometry

Enrico Arbarello, Maurizio Cornalba (1998)

Publications Mathématiques de l'IHÉS

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The fourth tautological group of ${\bar{M}}_{g, n}$ and relations with the cohomology

Marzia Polito (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We give a complete description of the fourth tautological group of the moduli space of pointed stable curves, ${\bar{M}}_{g, n}$ , and prove that for $g \geq 8$ it coincides with the cohomology group with rational coefficients. We further give a conjectural upper bound depending on the genus for the degree of new tautological relations.