2025/04/01 by David Kern, Étienne Mann, Cristina Manolache +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Finite Group Theory Research #Geometric and Algebraic Topology
paper · pdf · doi:10.1007/s00029-025-01033-w
openalex publication_date 2025/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
Abstract We use the derived moduli of sections \mathbb R\mathrm \underlineSec_\mathfrak M(\mathfrak Z/\mathfrak C) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>R</mml:mi> <mml:msub> <mml:munder> <mml:mi>Sec</mml:mi> <mml:mo>̲</mml:mo> </mml:munder> <mml:mi>M</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>Z</mml:mi> <mml:mo>/</mml:mo> <mml:mi>C</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> 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.