The Stratified Homotopy Type of the Reductive Borel-Serre Compactification
Research output: Contribution to journal › Journal article › Research › peer-review
Standard
The Stratified Homotopy Type of the Reductive Borel-Serre Compactification. / Jansen, Mikala Orsnes.
In: International Mathematics Research Notices, Vol. 2023, No. 19, 2023, p. 16394-16452.Research output: Contribution to journal › Journal article › Research › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - The Stratified Homotopy Type of the Reductive Borel-Serre Compactification
AU - Jansen, Mikala Orsnes
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - INTERSECTION HOMOLOGY
KW - MODULI SPACE
KW - SELF-MAPS
KW - CLASSIFICATION
KW - CONSTRUCTION
KW - BG
U2 - 10.1093/imrn/rnac289
DO - 10.1093/imrn/rnac289
M3 - Journal article
VL - 2023
SP - 16394
EP - 16452
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 19
ER -
ID: 344643038