In this short note, we give a formula for the von Neumann rho-invariant of surface bundles over the circle $S^1$. As a corollary,
we describe a relation among the von Neumann rho-invariant, the first Morita-Mumford class and the Rochlin invariant in a framework of the bounded cohomology.
Publié le : 2006-03-14
Classification:
von Neumann rho-invariant,
Morita-Mumford class,
Rochlin invariant,
bounded cohomology,
57M27,
57R20
@article{1145390209,
author = {Morifuji, Takayuki},
title = {A note on von Neumann rho-invariant of surface bundles over the circle},
journal = {Tohoku Math. J. (2)},
volume = {58},
number = {1},
year = {2006},
pages = { 123-127},
language = {en},
url = {http://dml.mathdoc.fr/item/1145390209}
}
Morifuji, Takayuki. A note on von Neumann rho-invariant of surface bundles over the circle. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp. 123-127. http://gdmltest.u-ga.fr/item/1145390209/