Stable maps into the classifying space of the general linear group

2006/08/29 by Ivan Kausz, Kausz, Ivan
Mathematics · #14A20 #14D20 #14H10 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14A20 #msc:14D20 #msc:14H10 #msc:14H60

paper · pdf · doi:10.48550/arxiv.math/0608715

12 pages

arxiv created 2006/08/29 · arxiv updated 2009/12/01

Abstract

In this note we give a definition of stable maps into the classifying stack \BGL_r of the general linear group. To support our belief that the definition is the correct one, we show that there are natural boundary morphisms between the moduli groupoids parameterizing stable maps to \BGL_r.

Related

• (Non-)Recognizing Spaces for Stable Subgroups
• Geometric invariant theory and moduli spaces of maps
• An Elementary GIT Construction of the Moduli Space of Stable Maps
• Decomposing the classifying diagram in terms of classifying spaces of groups
• Stacks of Stable Maps and Gromov-Witten Invariants