2000/09/06 by Tyler J. Jarvis, Jarvis, Tyler J., Takashi Kimura +3
Mathematics · #14H10 #14N35 #53D45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.AG #math.DG #math.QA #msc:14H10 #msc:14N35 #msc:53D45
paper · pdf · doi:10.48550/arxiv.math/0009066
12 pages, minor changes
openalex publication_date 2000/09/06 · arxiv created 2000/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this note is introduce a new axiom (called the Descent Axiom) in the theory of r-spin cohomological field theories. This axiom explains the origin of gravitational descendants in this theory. Furthermore, the Descent Axiom immediately implies the Vanishing Axiom, explicating the latter (which has no a priori analog in the theory of Gromov-Witten invariants), in terms of the multiplicativity of the virtual class. We prove that the Descent Axiom holds in the convex case, and consequently in genus zero.