INTERSECTION NUMBERS FOR LOADED CYCLES ASSOCIATED WITH SELBERG-TYPE INTEGRALS

• MIMACHI KATSUHISA

  Department of Mathematics, Tokyo Institute of Technology

• OHARA KATSUYOSHI

  Department of Computational Science, Kanazawa University

• YOSHIDA MASAAKI

  Department of Mathematics, Kyushu University

Abstract

We evaluate the intersection numbers of loaded cycles associated with an $n$-fold Selberg-type integral. We proceed inductively using high-dimensional local systems.

Journal

• Tohoku Mathematical Journal, Second Series

  Tohoku Mathematical Journal, Second Series 56 (4), 531-551, 2004

  Mathematical Institute, Tohoku University

Keywords

• Twisted (co)homology
• loaded cycles
• intersection numbers
• hypergeometric integrals
• Selberg-type integrals
• fibre bundle

Details

• CRID: 1390282680092718848
• NII Article ID: 110001043908
• NII Book ID: AA00863953
• DOI: 10.2748/tmj/1113246749
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2097160
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed