Open Access
Translator Disclaimer
2008 A class function on the mapping class group of an orientable surface and the Meyer cocycle
Masatoshi Sato
Algebr. Geom. Topol. 8(3): 1647-1665 (2008). DOI: 10.2140/agt.2008.8.1647

Abstract

In this paper we define a QP1–valued class function on the mapping class group g,2 of a surface Σg,2 of genus g with two boundary components. Let E be a Σg,2–bundle over a pair of pants P. Gluing to E the product of an annulus and P along the boundaries of each fiber, we obtain a closed surface bundle over P. We have another closed surface bundle by gluing to E the product of P and two disks.

The sign of our class function cobounds the 2–cocycle on g,2 defined by the difference of the signature of these two surface bundles over P.

Citation

Download Citation

Masatoshi Sato. "A class function on the mapping class group of an orientable surface and the Meyer cocycle." Algebr. Geom. Topol. 8 (3) 1647 - 1665, 2008. https://doi.org/10.2140/agt.2008.8.1647

Information

Received: 20 February 2008; Revised: 30 May 2008; Accepted: 2 June 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1169.57020
MathSciNet: MR2448866
Digital Object Identifier: 10.2140/agt.2008.8.1647

Subjects:
Primary: 55R40, 57N13
Secondary: 57M07

Rights: Copyright © 2008 Mathematical Sciences Publishers

JOURNAL ARTICLE
19 PAGES


SHARE
Vol.8 • No. 3 • 2008
MSP
Back to Top