## Journal of the Mathematical Society of Japan

### On Meyer's function of hyperelliptic mapping class groups

Takayuki MORIFUJI

#### Abstract

In this paper, we consider Meyer's function of hyperelliptic mapping class groups of orientable closed surfaces and give certain explicit formulae for it. Moreover we study geometric aspects of Meyer's function, and relate it to the $\eta-$ invariant of the signature operator and Morita's homomorphism, which is the core of the Casson invariant of integral homology 3-spheres.

#### Article information

Source
J. Math. Soc. Japan, Volume 55, Number 1 (2003), 117-129.

Dates
First available in Project Euclid: 5 December 2007

https://projecteuclid.org/euclid.jmsj/1196890845

Digital Object Identifier
doi:10.2969/jmsj/1196890845

Mathematical Reviews number (MathSciNet)
MR1939188

Zentralblatt MATH identifier
1031.57017

#### Citation

MORIFUJI, Takayuki. On Meyer's function of hyperelliptic mapping class groups. J. Math. Soc. Japan 55 (2003), no. 1, 117--129. doi:10.2969/jmsj/1196890845. https://projecteuclid.org/euclid.jmsj/1196890845