The Stratified Homotopy Type of the Reductive Borel-Serre Compactification

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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

Jansen, MO 2023, 'The Stratified Homotopy Type of the Reductive Borel-Serre Compactification', International Mathematics Research Notices, vol. 2023, no. 19, pp. 16394-16452. https://doi.org/10.1093/imrn/rnac289

APA

Jansen, M. O. (2023). The Stratified Homotopy Type of the Reductive Borel-Serre Compactification. International Mathematics Research Notices, 2023(19), 16394-16452. https://doi.org/10.1093/imrn/rnac289

Vancouver

Jansen MO. The Stratified Homotopy Type of the Reductive Borel-Serre Compactification. International Mathematics Research Notices. 2023;2023(19):16394-16452. https://doi.org/10.1093/imrn/rnac289

Author

Jansen, Mikala Orsnes. / The Stratified Homotopy Type of the Reductive Borel-Serre Compactification. In: International Mathematics Research Notices. 2023 ; Vol. 2023, No. 19. pp. 16394-16452.

Bibtex

@article{df42b6c0b9d94357aa4ce36f3accbdf0,
title = "The Stratified Homotopy Type of the Reductive Borel-Serre Compactification",
abstract = "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.",
keywords = "INTERSECTION HOMOLOGY, MODULI SPACE, SELF-MAPS, CLASSIFICATION, CONSTRUCTION, BG",
author = "Jansen, {Mikala Orsnes}",
year = "2023",
doi = "10.1093/imrn/rnac289",
language = "English",
volume = "2023",
pages = "16394--16452",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "19",

}

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