Tohoku Mathematical Journal
2004
December
SECOND SERIES VOL. 56, NO. 4

Tohoku Math. J.
56 (2004), 531-551

Title INTERSECTION NUMBERS FOR LOADED CYCLES ASSOCIATED WITH SELBERG-TYPE INTEGRALS

Author Katsuhisa Mimach, Katsuyoshi Ohara and Masaaki Yoshida

(Received March 27, 2003)
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.

2000 Mathematics Subject Classification. Primary 34M35; Secondary 33C70.
Key words and phrases. Twisted (co)homology, loaded cycles, intersection numbers, hypergeometric integrals, Selberg-type integrals, fibre bundle.

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