The Stratified Homotopy Type of the Reductive Borel-Serre Compactification

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We identify the exit path infinity-category of the reductive Borel-Serre compactification as the nerve of a 1-category defined purely in terms of rational parabolic subgroups and their unipotent radicals. As immediate consequences, we identify the fundamental group of the reductive Borel-Serre compactification, recovering a result of Ji-Murty- Saper-Scherk, and we obtain a combinatorial incarnation of constructible complexes of sheaves on the reductive Borel-Serre compactification as elements in a derived functor category.

OriginalsprogEngelsk
TidsskriftInternational Mathematics Research Notices
Vol/bind2023
Udgave nummer19
Sider (fra-til)16394-16452
ISSN1073-7928
DOI
StatusUdgivet - 2023

ID: 344643038