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Derived moduli of sections and push-forwards

  • David Kern [1] ; Étienne Mann [3] ; Cristina Manolache [4] ; Renata Picciotto [2]
    1. [1] Royal Institute of Technology

      Royal Institute of Technology

      Suecia

    2. [2] University of Cambridge

      University of Cambridge

      Cambridge District, Reino Unido

    3. [3] LAREMA, SFR MATHSTIC, Univ Angers, CNRS, 49000, Angers, France
    4. [4] Univ Sheffield, J23 Hicks building, Sheffield, UK
    Mostrar afiliaciones +
  • Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 2, 2025
  • Idioma: inglés
  • Enlaces
  • Resumen

    • We use the derived moduli of sections RSecM(Z/C) to give derived enhancements of various moduli spaces, including stable maps and stable quasi-maps, which are compatible with their usual perfect obstruction theories. As an application, we prove that G-theoretic stable map and quasi-map invariants of projective spaces are equal.

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