Higher cycles on the moduli space of stable curves

• OHBA Kiyoshi

  Department of Mathematics Faculty of Science Ochanomizu University

Bibliographic Information

Other Title

• Higher cycles of the moduli space of stable curves

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.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (2), 231-267, 2000

  The Mathematical Society of Japan

Keywords

• Moduli
• stable curve
• analytic cycle
• Betti number

Details

• CRID: 1390001205115984128
• NII Article ID: 10004480134
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05220231
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1742243
• NDL BIB ID: 5374823
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5374823
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed