Recently Entov and Polterovich asked if the Grubb measure was the only symplectic topological measure on the torus. Much to our surprise we discovered a whole new class of intrinsic simple topological measures on the torus, many of which were symplectic.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm185-3-6,
author = {Finn F. Knudsen},
title = {New topological measures on the torus},
journal = {Fundamenta Mathematicae},
volume = {185},
year = {2005},
pages = {287-293},
zbl = {1097.28010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm185-3-6}
}
Finn F. Knudsen. New topological measures on the torus. Fundamenta Mathematicae, Tome 185 (2005) pp. 287-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm185-3-6/