Journal of the Mathematical Society of Japan

Higher cycles on the moduli space of stable curves

Kiyoshi OHBA

Full-text: Open access

Abstract

We construct a number of analytic cycles on the moduli space of stable curves by using three moduli spaces: the moduli space of tori with one marked point, that of spheres with four marked points, and that of tori with two marked points. We then prove the linear independence of the cycles in the rational homology groups in order to improve Wolpert's estimates for even degree Betti numbers of the moduli space of stable curves.

Article information

Source
J. Math. Soc. Japan, Volume 52, Number 2 (2000), 231-267.

Dates
First available in Project Euclid: 10 June 2008

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1213107372

Digital Object Identifier
doi:10.2969/jmsj/05220231

Mathematical Reviews number (MathSciNet)
MR1742243

Zentralblatt MATH identifier
0966.32010

Subjects
Primary: 32G15: Moduli of Riemann surfaces, Teichmüller theory [See also 14H15, 30Fxx]
Secondary: 14H15: Families, moduli (analytic) [See also 30F10, 32G15]

Keywords
Moduli stable curve analytic cycle Betti number

Citation

OHBA, Kiyoshi. Higher cycles on the moduli space of stable curves. J. Math. Soc. Japan 52 (2000), no. 2, 231--267. doi:10.2969/jmsj/05220231. https://projecteuclid.org/euclid.jmsj/1213107372


Export citation