Thurston’s fragmentation and c-principles
Forum of Mathematics, Sigma, Tome 11 (2023)
Voir la notice de l'article provenant de la source Cambridge University Press
In this paper, we generalize the original idea of Thurston for the so-called Mather-Thurston’s theorem for foliated bundles to prove new variants of this theorem for PL homeomorphisms and contactormorphisms. These versions answer questions posed by Gelfand-Fuks ([GF73, Section 5]) and Greenberg ([Gre92]) on PL foliations and Rybicki ([Ryb10, Section 11]) on contactomorphisms. The interesting point about the original Thurston’s technique compared to the better-known Segal-McDuff’s proof of the Mather-Thurston theorem is that it gives a compactly supported c-principle theorem without knowing the relevant local statement on open balls. In the appendix, we show that Thurston’s fragmentation implies the non-abelian Poincare duality theorem and its generalization using blob complexes ([MW12, Theorem 7.3.1]).To the memory of John Mather.
@article{10_1017_fms_2023_29,
author = {Sam Nariman},
title = {Thurston{\textquoteright}s fragmentation and c-principles},
journal = {Forum of Mathematics, Sigma},
publisher = {mathdoc},
volume = {11},
year = {2023},
doi = {10.1017/fms.2023.29},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2023.29/}
}
Sam Nariman. Thurston’s fragmentation and c-principles. Forum of Mathematics, Sigma, Tome 11 (2023). doi: 10.1017/fms.2023.29
Cité par Sources :