The ℤ∕p-equivariant cohomology of the genus-zero Deligne–Mumford space with 1 + p marked points
Year: 2025
Type: article
Abstract: We prove that the Serre spectral sequence of the fibration M 0;1Cp !EZ=p Z=p M 0;1Cp !BZ=p collapses at the E 2 -page.We use this to prove that a torsion element of the Z=p-equivariant cohomology with F p -coefficients of genus-zero Deligne-Mumford space with 1 C p marked points is lifted from nonequivariant cohomology.We conclude that the only "interesting" Z=p-equivariant operations on quantum cohomology are quantum Steenrod power operations.
Source: Algebraic & Geometric Topology
Authors: Dain Kim, Nicholas Wilkins
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415815544