2013/10/14 by J. P. Pridham, Pridham, J. P.
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AG
paper · pdf · doi:10.48550/arxiv.1310.3845
9 pages
arxiv created 2013/10/14 · arxiv updated 2013/10/16
In this note, we give a formulation of log structures for derived stacks using Olsson's log stack. The derived cotangent complex is then Olsson's logarithmic cotangent complex, which (unlike Gabber's) is just given by log differential forms in the log smooth case. The derived moduli stack of log stable maps then produces the desired virtual tangent space and obstruction theory on the underlying underived stack.