The structure of the tautological ring in genus one

DOI10.1215/00127094-2429916zbMath1291.14045arXiv1205.1586OpenAlexW2157630328MaRDI QIDQ2447401

Dan Erik Petersen

Publication date: 25 April 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1586

zbMATH Keywords

moduli space of curvescohomology ringtautological ring

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (17)

Equivariant cohomology of certain moduli of weighted pointed rational curves ⋮ Non-tautological Hurwitz cycles ⋮ On the kappa ring of \(\overline{\mathcal{M}}_{g, n}\) ⋮ A remark on a conjecture of Hain and Looijenga ⋮ Topological recursion relations on \(\overline{\mathcal{M}}_{3,2}\) ⋮ Holomorphic differential forms on moduli spaces of stable curves ⋮ The eleventh cohomology group of ⋮ Nontautological bielliptic cycles ⋮ Toward a minimal model for \(H_* (\overline{\mathcal{M}})\) ⋮ Intersections of loci of admissible covers with tautological classes ⋮ Cohomologie de Chen-Ruan de \(\mathcal{M}_{1, n}\) et \(\overline{\mathcal{M}}_{1, n}\) ⋮ The Gorenstein conjecture fails for the tautological ring of \(\overline{\mathcal{M}}_{2,n}\) ⋮ Some Questions in the Theory of Pseudoholomorphic Curves ⋮ Tautological classes on the moduli space of hyperelliptic curves with rational tails ⋮ Brown's dihedral moduli space and freedom of the gravity operad ⋮ Tautological rings of spaces of pointed genus two curves of compact type ⋮ Curves on K3 surfaces in divisibility 2

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