2016/01/08 by Mikhail Kapranov, Kapranov, Mikhail, Vadim Schechtman +1 · 3 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1601.01789
openalex publication_date 2016/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an explicit combinatorial description of the category Perv(S,N) of perverse sheaves on an oriented surface S (with boundary) with singularities at a given finite set N. The description is given in terms of any spanning graph K in S with the set of vertices N, so the category is defined entirely in terms of a ribbon graph. This description can be seen as an application, in the theory of perverse sheaves, of the idea of localization on a Lagrangian skeleton.