A note on von Neumann rho-invariant of surface bundles over the circle

Takayuki Morifuji

doi:10.2748/tmj/1145390209

A note on von Neumann rho-invariant of surface bundles over the circle

Research output: Contribution to journal › Article › peer-review

Abstract

In this short note, we give a formula for the von Neumann rho-invariant of surface bundles over the circle S¹. 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.

Original language	English
Pages (from-to)	123-127
Number of pages	5
Journal	Tohoku Mathematical Journal
Volume	58
Issue number	1
DOIs	https://doi.org/10.2748/tmj/1145390209
Publication status	Published - 2006 Mar
Externally published	Yes

Keywords

Bounded cohomology
Morita-Mumford class
Rochlin invariant
Von Neumann rho-invariant

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2748/tmj/1145390209

Cite this

@article{beaeb3b2d7654b6fb37b09530804f8cf,

title = "A note on von Neumann rho-invariant of surface bundles over the circle",

abstract = "In this short note, we give a formula for the von Neumann rho-invariant of surface bundles over the circle S1. 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.",

keywords = "Bounded cohomology, Morita-Mumford class, Rochlin invariant, Von Neumann rho-invariant",

author = "Takayuki Morifuji",

year = "2006",

month = mar,

doi = "10.2748/tmj/1145390209",

language = "English",

volume = "58",

pages = "123--127",

journal = "Tohoku Mathematical Journal",

issn = "0040-8735",

publisher = "Tohoku University, Mathematical Institute",

number = "1",

}

TY - JOUR

T1 - A note on von Neumann rho-invariant of surface bundles over the circle

AU - Morifuji, Takayuki

PY - 2006/3

Y1 - 2006/3

N2 - In this short note, we give a formula for the von Neumann rho-invariant of surface bundles over the circle S1. 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.

AB - In this short note, we give a formula for the von Neumann rho-invariant of surface bundles over the circle S1. 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.

KW - Bounded cohomology

KW - Morita-Mumford class

KW - Rochlin invariant

KW - Von Neumann rho-invariant

UR - http://www.scopus.com/inward/record.url?scp=33646241757&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646241757&partnerID=8YFLogxK

U2 - 10.2748/tmj/1145390209

DO - 10.2748/tmj/1145390209

M3 - Article

AN - SCOPUS:33646241757

SN - 0040-8735

VL - 58

SP - 123

EP - 127

JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

IS - 1

ER -

A note on von Neumann rho-invariant of surface bundles over the circle

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this