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The totally nonnegative wonderful compactification of G is a ball
Abstract
Let G̅ denote the wonderful compactification of a semisimple algebraic group G of adjoint type. We use contractive flows to show that the totally nonnegative part of every G × G orbit closure of G̅ is homeomorphic to a closed Euclidean ball. In particular, the totally nonnegative part of G̅ is homeomorphic to a closed ball.
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BibTeX
@misc{evens2026totally,
title = {{The totally nonnegative wonderful compactification of G is a ball}},
author = {Sam Evens and Steven N. Karp},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32745},
eprint = {2610.32745},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32745},
}
RIS
TY - UNPB
TI - The totally nonnegative wonderful compactification of G is a ball
AU - Sam Evens
AU - Steven N. Karp
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32745
UR - https://arxiv.org/abs/2610.32745
AB - Let G̅ denote the wonderful compactification of a semisimple algebraic group G of adjoint type. We use contractive flows to show that the totally nonnegative part of every G × G orbit closure of G̅ is homeomorphic to a closed Euclidean ball. In particular, the totally nonnegative part of G̅ is homeomorphic to a closed ball.
ER -