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.

Original languageEnglish
JournalInternational Mathematics Research Notices
Volume2023
Issue number19
Pages (from-to)16394-16452
ISSN1073-7928
DOIs
Publication statusPublished - 2023

    Research areas

  • INTERSECTION HOMOLOGY, MODULI SPACE, SELF-MAPS, CLASSIFICATION, CONSTRUCTION, BG

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