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  • 1.
    Bergvall, Olof
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    Equivariant cohomology of moduli spaces of genus three curves with level two structure2019In: Geometriae Dedicata, ISSN 0046-5755, E-ISSN 1572-9168, Vol. 202, no 1, p. 165-191Article in journal (Refereed)
    Abstract [en]

    We study the cohomology of the moduli space of genus three curves with level two structure and some related spaces. In particular, we determine the cohomology groups of the moduli space of plane quartics with level two structure as representations of the symplectic group on a six dimensional vector space over the field of two elements. We also make the analogous computations for some related spaces such as moduli spaces of genus three curves with a marked point and strata of the moduli space of Abelian differentials of genus three.

  • 2.
    Bergvall, Olof
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
    Equivariant Cohomology of the Moduli Space of Genus Three Curves with Symplectic Level Two Structure via Point CountsIn: European Journal of Mathematics, ISSN 2199-675X, E-ISSN 2199-6768Article in journal (Refereed)
  • 3.
    Bergvall, Olof
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
    Relations in the tautological ring of the universal curveIn: Communications in analysis and geometry, ISSN 1019-8385, E-ISSN 1944-9992Article in journal (Refereed)
  • 4.
    Bergvall, Olof
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
    The equivariant Euler characteristic of A_3[2]In: Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V, ISSN 0391-173X, E-ISSN 2036-2145Article in journal (Refereed)
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