Topological rigidity of ${\mathrm{SL}}_2$-quotients

Fuente: arXiv
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Main Authors: Johnston, Dylan, Rumynin, Dmitriy
Format: Preprint
Published: 2023
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_version_ 1866912976727965696
author Johnston, Dylan
Rumynin, Dmitriy
author_facet Johnston, Dylan
Rumynin, Dmitriy
contents We investigate the homotopy type of a certain homogeneous space for a simple complex algebraic group. We calculate some of its classical topological invariants and introduce a new one. We also propose several conjectures about its topological rigidity.
format Preprint
id arxiv_https___arxiv_org_abs_2309_07238
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Topological rigidity of ${\mathrm{SL}}_2$-quotients
Johnston, Dylan
Rumynin, Dmitriy
Algebraic Topology
Representation Theory
Primary 55P15, Secondary 17B08, 57T20
We investigate the homotopy type of a certain homogeneous space for a simple complex algebraic group. We calculate some of its classical topological invariants and introduce a new one. We also propose several conjectures about its topological rigidity.
title Topological rigidity of ${\mathrm{SL}}_2$-quotients
topic Algebraic Topology
Representation Theory
Primary 55P15, Secondary 17B08, 57T20
url https://arxiv.org/abs/2309.07238